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New trends in Hopf algebra theory : proceedings of the Colloquium on Quantum Groups and Hopf Algebras, La Falda, Sierras de Córdoba, Argentina, August 9-13, 1999 / / Nicolás Andruskiewitsch, Walter Ricardo Ferrer Santos, Hans-Jürgen Schneider, editors
New trends in Hopf algebra theory : proceedings of the Colloquium on Quantum Groups and Hopf Algebras, La Falda, Sierras de Córdoba, Argentina, August 9-13, 1999 / / Nicolás Andruskiewitsch, Walter Ricardo Ferrer Santos, Hans-Jürgen Schneider, editors
Pubbl/distr/stampa Providence, Rhode Island : , : American Mathematical Society, , [2000]
Descrizione fisica 1 online resource (376 p.)
Disciplina 512/.55
Collana Contemporary mathematics
Soggetto topico Hopf algebras
Quantum groups
Soggetto genere / forma Electronic books.
ISBN 0-8218-7857-3
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto ""Contents""; ""Preface""; ""Participants""; ""Program""; ""Infinitesimal Hopf algebras""; ""Modules over weak entwining structures""; ""On generalized characters""; ""BiFrobenius algebras""; ""Integrable models and star structures""; ""On Nichols algebras of low dimension""; ""A generalization of crossed products""; ""A brief introduction to face algebras""; ""On two proofs for the existence and uniqueness of integrals for finite-dimensional Hopf algebras""; ""Cocycle deformations and Galois objects for some cosemisimple Hopf algebras of finite dimension""
""Pointed indecomposable Hopf algebras over Coxeter groups""""A duality theorem for quantum groupoids""; ""Primitive elements in a free dendriform algebra""; ""On operator representations of Uq(isl(2, JR))""; ""Duals and doubles of quantum groupoids (X R-Hopf algebras)""; ""Survey of braided Hopf algebras""; ""Inner and outer actions of pointed Hopf algebras""; ""Quasi-triangular structures on Hopf algebras with positive bases""
Record Nr. UNINA-9910480529803321
Providence, Rhode Island : , : American Mathematical Society, , [2000]
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
New trends in Hopf algebra theory : proceedings of the Colloquium on Quantum Groups and Hopf Algebras, La Falda, Sierras de Córdoba, Argentina, August 9-13, 1999 / / Nicolás Andruskiewitsch, Walter Ricardo Ferrer Santos, Hans-Jürgen Schneider, editors
New trends in Hopf algebra theory : proceedings of the Colloquium on Quantum Groups and Hopf Algebras, La Falda, Sierras de Córdoba, Argentina, August 9-13, 1999 / / Nicolás Andruskiewitsch, Walter Ricardo Ferrer Santos, Hans-Jürgen Schneider, editors
Pubbl/distr/stampa Providence, Rhode Island : , : American Mathematical Society, , [2000]
Descrizione fisica 1 online resource (376 p.)
Disciplina 512/.55
Collana Contemporary mathematics
Soggetto topico Hopf algebras
Quantum groups
ISBN 0-8218-7857-3
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto ""Contents""; ""Preface""; ""Participants""; ""Program""; ""Infinitesimal Hopf algebras""; ""Modules over weak entwining structures""; ""On generalized characters""; ""BiFrobenius algebras""; ""Integrable models and star structures""; ""On Nichols algebras of low dimension""; ""A generalization of crossed products""; ""A brief introduction to face algebras""; ""On two proofs for the existence and uniqueness of integrals for finite-dimensional Hopf algebras""; ""Cocycle deformations and Galois objects for some cosemisimple Hopf algebras of finite dimension""
""Pointed indecomposable Hopf algebras over Coxeter groups""""A duality theorem for quantum groupoids""; ""Primitive elements in a free dendriform algebra""; ""On operator representations of Uq(isl(2, JR))""; ""Duals and doubles of quantum groupoids (X R-Hopf algebras)""; ""Survey of braided Hopf algebras""; ""Inner and outer actions of pointed Hopf algebras""; ""Quasi-triangular structures on Hopf algebras with positive bases""
Record Nr. UNINA-9910788655203321
Providence, Rhode Island : , : American Mathematical Society, , [2000]
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
New trends in Hopf algebra theory : proceedings of the Colloquium on Quantum Groups and Hopf Algebras, La Falda, Sierras de Córdoba, Argentina, August 9-13, 1999 / / Nicolás Andruskiewitsch, Walter Ricardo Ferrer Santos, Hans-Jürgen Schneider, editors
New trends in Hopf algebra theory : proceedings of the Colloquium on Quantum Groups and Hopf Algebras, La Falda, Sierras de Córdoba, Argentina, August 9-13, 1999 / / Nicolás Andruskiewitsch, Walter Ricardo Ferrer Santos, Hans-Jürgen Schneider, editors
Pubbl/distr/stampa Providence, Rhode Island : , : American Mathematical Society, , [2000]
Descrizione fisica 1 online resource (376 p.)
Disciplina 512/.55
Collana Contemporary mathematics
Soggetto topico Hopf algebras
Quantum groups
ISBN 0-8218-7857-3
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto ""Contents""; ""Preface""; ""Participants""; ""Program""; ""Infinitesimal Hopf algebras""; ""Modules over weak entwining structures""; ""On generalized characters""; ""BiFrobenius algebras""; ""Integrable models and star structures""; ""On Nichols algebras of low dimension""; ""A generalization of crossed products""; ""A brief introduction to face algebras""; ""On two proofs for the existence and uniqueness of integrals for finite-dimensional Hopf algebras""; ""Cocycle deformations and Galois objects for some cosemisimple Hopf algebras of finite dimension""
""Pointed indecomposable Hopf algebras over Coxeter groups""""A duality theorem for quantum groupoids""; ""Primitive elements in a free dendriform algebra""; ""On operator representations of Uq(isl(2, JR))""; ""Duals and doubles of quantum groupoids (X R-Hopf algebras)""; ""Survey of braided Hopf algebras""; ""Inner and outer actions of pointed Hopf algebras""; ""Quasi-triangular structures on Hopf algebras with positive bases""
Record Nr. UNINA-9910828840603321
Providence, Rhode Island : , : American Mathematical Society, , [2000]
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
On higher Frobenius-Schur indicators / / Yevgenia Kashina, Yorck Sommerhäuser, Yongchang Zhu
On higher Frobenius-Schur indicators / / Yevgenia Kashina, Yorck Sommerhäuser, Yongchang Zhu
Autore Kashina Yevgenia <1971->
Pubbl/distr/stampa Providence, Rhode Island : , : American Mathematical Society, , [2006]
Descrizione fisica 1 online resource (82 p.)
Disciplina 510 s
512/.55
Collana Memoirs of the American Mathematical Society
Soggetto topico Hopf algebras
Lie superalgebras
Frobenius algebras
Cauchy integrals
Soggetto genere / forma Electronic books.
ISBN 1-4704-0459-1
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto ""Contents""; ""Introduction""; ""Chapter 1. The Calculus of Sweedler Powers""; ""1.1. Monotone maps""; ""1.2. The union of the symmetric groups""; ""1.3. Bialgebras""; ""1.4. A monoid""; ""1.5. Permutations from sequences""; ""1.6. Sweedler powers""; ""Chapter 2. Frobenius-Schur Indicators""; ""2.1. Central Sweedler powers""; ""2.2. The coproduct of the Sweedler powers""; ""2.3. The first formula for the Frobenius-Schur indicators""; ""2.4. The Frobenius-Schur theorem""; ""2.5. Frobenius-Schur indicators of the regular representation""; ""Chapter 3. The Exponent""; ""3.1. The exponent""
""3.2. The second formula for the Frobenius-Schur indicators""""3.3. Sweedler powers of the integral""; ""3.4. Cauchy's theorem""; ""Chapter 4. The Order""; ""4.1. Order and multiplicity""; ""4.2. The divisibility theorem""; ""4.3. An example""; ""4.4. The dimension of the simple modules""; ""Chapter 5. The Index""; ""5.1. Indecomposable matrices""; ""5.2. The normal form""; ""5.3. The Perron-Frobenius theorem""; ""5.4. The index formula""; ""Chapter 6. The Drinfel'd Double""; ""6.1. The Drinfel'd double""; ""6.2. Factorizability""; ""6.3. The center of the character ring""
""6.4. The third formula for the Frobenius-Schur indicators""""Chapter 7. Examples""; ""7.1. A class of extensions""; ""7.2. The coefficients""; ""7.3. Sweedler powers of the integral""; ""7.4. The simple modules""; ""7.5. Nonintegral indicators""; ""7.6. Noncocommutative Sweedler powers""; ""7.7. Noncentral Sweedler powers""; ""Bibliography""; ""Subject Index""; ""A""; ""B""; ""C""; ""D""; ""E""; ""F""; ""G""; ""H""; ""I""; ""L""; ""M""; ""N""; ""O""; ""P""; ""R""; ""S""; ""T""; ""U""; ""V""; ""W""; ""Symbol Index""
Record Nr. UNINA-9910479856303321
Kashina Yevgenia <1971->  
Providence, Rhode Island : , : American Mathematical Society, , [2006]
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
On higher Frobenius-Schur indicators / / Yevgenia Kashina, Yorck Sommerhäuser, Yongchang Zhu
On higher Frobenius-Schur indicators / / Yevgenia Kashina, Yorck Sommerhäuser, Yongchang Zhu
Autore Kashina Yevgenia <1971->
Pubbl/distr/stampa Providence, Rhode Island : , : American Mathematical Society, , [2006]
Descrizione fisica 1 online resource (82 p.)
Disciplina 510 s
512/.55
Collana Memoirs of the American Mathematical Society
Soggetto topico Hopf algebras
Lie superalgebras
Frobenius algebras
Cauchy integrals
ISBN 1-4704-0459-1
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto ""Contents""; ""Introduction""; ""Chapter 1. The Calculus of Sweedler Powers""; ""1.1. Monotone maps""; ""1.2. The union of the symmetric groups""; ""1.3. Bialgebras""; ""1.4. A monoid""; ""1.5. Permutations from sequences""; ""1.6. Sweedler powers""; ""Chapter 2. Frobenius-Schur Indicators""; ""2.1. Central Sweedler powers""; ""2.2. The coproduct of the Sweedler powers""; ""2.3. The first formula for the Frobenius-Schur indicators""; ""2.4. The Frobenius-Schur theorem""; ""2.5. Frobenius-Schur indicators of the regular representation""; ""Chapter 3. The Exponent""; ""3.1. The exponent""
""3.2. The second formula for the Frobenius-Schur indicators""""3.3. Sweedler powers of the integral""; ""3.4. Cauchy's theorem""; ""Chapter 4. The Order""; ""4.1. Order and multiplicity""; ""4.2. The divisibility theorem""; ""4.3. An example""; ""4.4. The dimension of the simple modules""; ""Chapter 5. The Index""; ""5.1. Indecomposable matrices""; ""5.2. The normal form""; ""5.3. The Perron-Frobenius theorem""; ""5.4. The index formula""; ""Chapter 6. The Drinfel'd Double""; ""6.1. The Drinfel'd double""; ""6.2. Factorizability""; ""6.3. The center of the character ring""
""6.4. The third formula for the Frobenius-Schur indicators""""Chapter 7. Examples""; ""7.1. A class of extensions""; ""7.2. The coefficients""; ""7.3. Sweedler powers of the integral""; ""7.4. The simple modules""; ""7.5. Nonintegral indicators""; ""7.6. Noncocommutative Sweedler powers""; ""7.7. Noncentral Sweedler powers""; ""Bibliography""; ""Subject Index""; ""A""; ""B""; ""C""; ""D""; ""E""; ""F""; ""G""; ""H""; ""I""; ""L""; ""M""; ""N""; ""O""; ""P""; ""R""; ""S""; ""T""; ""U""; ""V""; ""W""; ""Symbol Index""
Record Nr. UNINA-9910788741803321
Kashina Yevgenia <1971->  
Providence, Rhode Island : , : American Mathematical Society, , [2006]
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
On higher Frobenius-Schur indicators / / Yevgenia Kashina, Yorck Sommerhäuser, Yongchang Zhu
On higher Frobenius-Schur indicators / / Yevgenia Kashina, Yorck Sommerhäuser, Yongchang Zhu
Autore Kashina Yevgenia <1971->
Pubbl/distr/stampa Providence, Rhode Island : , : American Mathematical Society, , [2006]
Descrizione fisica 1 online resource (82 p.)
Disciplina 510 s
512/.55
Collana Memoirs of the American Mathematical Society
Soggetto topico Hopf algebras
Lie superalgebras
Frobenius algebras
Cauchy integrals
ISBN 1-4704-0459-1
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto ""Contents""; ""Introduction""; ""Chapter 1. The Calculus of Sweedler Powers""; ""1.1. Monotone maps""; ""1.2. The union of the symmetric groups""; ""1.3. Bialgebras""; ""1.4. A monoid""; ""1.5. Permutations from sequences""; ""1.6. Sweedler powers""; ""Chapter 2. Frobenius-Schur Indicators""; ""2.1. Central Sweedler powers""; ""2.2. The coproduct of the Sweedler powers""; ""2.3. The first formula for the Frobenius-Schur indicators""; ""2.4. The Frobenius-Schur theorem""; ""2.5. Frobenius-Schur indicators of the regular representation""; ""Chapter 3. The Exponent""; ""3.1. The exponent""
""3.2. The second formula for the Frobenius-Schur indicators""""3.3. Sweedler powers of the integral""; ""3.4. Cauchy's theorem""; ""Chapter 4. The Order""; ""4.1. Order and multiplicity""; ""4.2. The divisibility theorem""; ""4.3. An example""; ""4.4. The dimension of the simple modules""; ""Chapter 5. The Index""; ""5.1. Indecomposable matrices""; ""5.2. The normal form""; ""5.3. The Perron-Frobenius theorem""; ""5.4. The index formula""; ""Chapter 6. The Drinfel'd Double""; ""6.1. The Drinfel'd double""; ""6.2. Factorizability""; ""6.3. The center of the character ring""
""6.4. The third formula for the Frobenius-Schur indicators""""Chapter 7. Examples""; ""7.1. A class of extensions""; ""7.2. The coefficients""; ""7.3. Sweedler powers of the integral""; ""7.4. The simple modules""; ""7.5. Nonintegral indicators""; ""7.6. Noncocommutative Sweedler powers""; ""7.7. Noncentral Sweedler powers""; ""Bibliography""; ""Subject Index""; ""A""; ""B""; ""C""; ""D""; ""E""; ""F""; ""G""; ""H""; ""I""; ""L""; ""M""; ""N""; ""O""; ""P""; ""R""; ""S""; ""T""; ""U""; ""V""; ""W""; ""Symbol Index""
Record Nr. UNINA-9910812417003321
Kashina Yevgenia <1971->  
Providence, Rhode Island : , : American Mathematical Society, , [2006]
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Prodotti semidiretti di cicloidi. Tesi di laurea / laureanda Marzia Mazzotta ; relatore Maria Maddalena Miccoli
Prodotti semidiretti di cicloidi. Tesi di laurea / laureanda Marzia Mazzotta ; relatore Maria Maddalena Miccoli
Autore Mazzotta, Marzia
Pubbl/distr/stampa Lecce : Università del Salento. Facoltà di Scienze MM. FF. NN. Corso di Laurea in Matematica, a.a. 2012-13
Descrizione fisica 27 p. ; 30 cm
Altri autori (Persone) Miccoli, Maria Maddalena
Soggetto topico Hopf algebras
Quantum groups
Related topics
Classificazione AMS 16T25
AMS 16T20
AMS 81R50
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione ita
Record Nr. UNISALENTO-991002416499707536
Mazzotta, Marzia  
Lecce : Università del Salento. Facoltà di Scienze MM. FF. NN. Corso di Laurea in Matematica, a.a. 2012-13
Materiale a stampa
Lo trovi qui: Univ. del Salento
Opac: Controlla la disponibilità qui
Quantum groups / Christian Kassel
Quantum groups / Christian Kassel
Autore Kassel, Christian
Pubbl/distr/stampa New York : Springer-Verlag, c1995
Descrizione fisica xii, 531 p. : ill. ; 25 cm.
Disciplina 512.55
Collana Graduate texts in mathematics, 0072-5285 ; 155
Soggetto topico Hopf algebras
Mathematical physics
Quantum groups
Topology
ISBN 0387943706
Classificazione AMS 17B37
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Record Nr. UNISALENTO-991001276759707536
Kassel, Christian  
New York : Springer-Verlag, c1995
Materiale a stampa
Lo trovi qui: Univ. del Salento
Opac: Controlla la disponibilità qui
Rational homotopical models and uniqueness / / Martin Majewski
Rational homotopical models and uniqueness / / Martin Majewski
Autore Majewski Martin <1963->
Pubbl/distr/stampa Providence, Rhode Island : , : American Mathematical Society, , [2000]
Descrizione fisica 1 online resource (175 p.)
Disciplina 510 s
514/.24
Collana Memoirs of the American Mathematical Society
Soggetto topico Homotopy theory
Hopf algebras
Soggetto genere / forma Electronic books.
ISBN 1-4704-0273-4
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto ""TABLE OF CONTENTS""; ""ABSTRACT""; ""KEYWORDS""; ""PREFACE""; ""INTRODUCTION""; ""1. HOMOTOPY THEORY""; ""1. HOMOTOPICAL CATEGORIES""; ""1. The axioms""; ""2. Left homotopical categories""; ""3. Homotopical subcategories""; ""2. FUNDAMENTAL RESULTS""; ""1. Lifting and extension""; ""2. The derived category""; ""3. Homotopical functors and their derived functors""; ""4. The Adjoint Functor Theorem""; ""3. COMONOIDS UP TO HOMOTOPY""; ""1. � as comonoids over the derived category""; ""2. Derived tensor product""; ""3. Generalizations""; ""A. EXAMPLES OF HOMOTOPICAL CATEGORIES""
""1. Cofibration categories""""2. Model categories""; ""3. Spaces""; ""4. Simplicial objects""; ""2. DIFFERENTIAL ALGEBRA""; ""1. PRELIMINARIES""; ""1. Chain complexes""; ""2. DG (co)algebras""; ""3. Tensor (co) algebras""; ""2. TWISTING MAPS AND THE (CO) BAR CONSTRUCTION""; ""1. Twisting maps and homotopies""; ""2. The (co)bar construction""; ""3. Compatibility with tensor product""; ""4. Homological properties""; ""3. ACYCLIC MODELS""; ""1. Representable functors""; ""2. The method of acyclic models""; ""3. Duality""; ""4. Acyclic model theorems for twisting maps""; ""4. EZ-MORPHISMS""
""1. Extension of an EZ-morphism""""2. A generalization""; ""3. Properties of the extension""; ""B. CHAIN (CO) FUNCTORS""; ""1. Monoidal categories""; ""2. Normalization""; ""3. Representable cofunctors for spaces""; ""4. Cohomology theories""; ""3. COMPLETE ALGEBRA""; ""1. COMPLETE AUGMENTED ALGEBRAS""; ""1. Ring systems""; ""2. Complete modules""; ""3. Complete augmented algebras and free groups""; ""4. Rigidity""; ""2. COMPLETE LIE ALGEBRAS AND COMPLETE HOPF ALGEBRAS""; ""1. Complete Hopf algebras and the exponential mapping""; ""2. The PBW�Theorem""; ""3. Normal complete Hopf algebras""
""4. Rigidity""""3. COMPLETE GROUPS""; ""1. Nilpotent groups""; ""2. Complete groups""; ""3. The Lazard � Mal'cev correspondence""; ""4. The Quillen functor""; ""C. FILTERED MODULES""; ""1. Filtered vs. cofiltered modules""; ""2. Normal maps and exactness""; ""3. Filtered tensor product""; ""4. Complete Differential Algebra""; ""4. THREE MODELS FOR SPACES""; ""1. THE CELLULAR MODEL""; ""1. The homotopical category of dg algebras""; ""2. The homotopical category of dg Hopf algebras up to homotopy""; ""3. The cobar � chain functor and the chain � loop functor""
""4. Compatibility with (tensor) products""""5. The homotopy diagonals""; ""2. THE SULLIVAN MODEL""; ""1. The homotopical category of commutative dg* algebras""; ""2. The Sullivan cofunctor and Stokes' map""; ""3. Extension of Stokes' map""; ""4. Compatibility with (tensor) products""; ""5. Dualization""; ""6. The homotopy diagonals""; ""3. THE QUILLEN MODEL""; ""1. The homotopical category of dg Lie algebras""; ""2. The Quillen functor""; ""3. Connection to the chain � loop functor""; ""4. The group algebra of a free simplicial group""; ""5. A proof of the Quillen equivalence""
""4. MAIN RESULTS""
Record Nr. UNINA-9910481049903321
Majewski Martin <1963->  
Providence, Rhode Island : , : American Mathematical Society, , [2000]
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Rational homotopical models and uniqueness / / Martin Majewski
Rational homotopical models and uniqueness / / Martin Majewski
Autore Majewski Martin <1963->
Pubbl/distr/stampa Providence, Rhode Island : , : American Mathematical Society, , [2000]
Descrizione fisica 1 online resource (175 p.)
Disciplina 510 s
514/.24
Collana Memoirs of the American Mathematical Society
Soggetto topico Homotopy theory
Hopf algebras
ISBN 1-4704-0273-4
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto ""TABLE OF CONTENTS""; ""ABSTRACT""; ""KEYWORDS""; ""PREFACE""; ""INTRODUCTION""; ""1. HOMOTOPY THEORY""; ""1. HOMOTOPICAL CATEGORIES""; ""1. The axioms""; ""2. Left homotopical categories""; ""3. Homotopical subcategories""; ""2. FUNDAMENTAL RESULTS""; ""1. Lifting and extension""; ""2. The derived category""; ""3. Homotopical functors and their derived functors""; ""4. The Adjoint Functor Theorem""; ""3. COMONOIDS UP TO HOMOTOPY""; ""1. � as comonoids over the derived category""; ""2. Derived tensor product""; ""3. Generalizations""; ""A. EXAMPLES OF HOMOTOPICAL CATEGORIES""
""1. Cofibration categories""""2. Model categories""; ""3. Spaces""; ""4. Simplicial objects""; ""2. DIFFERENTIAL ALGEBRA""; ""1. PRELIMINARIES""; ""1. Chain complexes""; ""2. DG (co)algebras""; ""3. Tensor (co) algebras""; ""2. TWISTING MAPS AND THE (CO) BAR CONSTRUCTION""; ""1. Twisting maps and homotopies""; ""2. The (co)bar construction""; ""3. Compatibility with tensor product""; ""4. Homological properties""; ""3. ACYCLIC MODELS""; ""1. Representable functors""; ""2. The method of acyclic models""; ""3. Duality""; ""4. Acyclic model theorems for twisting maps""; ""4. EZ-MORPHISMS""
""1. Extension of an EZ-morphism""""2. A generalization""; ""3. Properties of the extension""; ""B. CHAIN (CO) FUNCTORS""; ""1. Monoidal categories""; ""2. Normalization""; ""3. Representable cofunctors for spaces""; ""4. Cohomology theories""; ""3. COMPLETE ALGEBRA""; ""1. COMPLETE AUGMENTED ALGEBRAS""; ""1. Ring systems""; ""2. Complete modules""; ""3. Complete augmented algebras and free groups""; ""4. Rigidity""; ""2. COMPLETE LIE ALGEBRAS AND COMPLETE HOPF ALGEBRAS""; ""1. Complete Hopf algebras and the exponential mapping""; ""2. The PBW�Theorem""; ""3. Normal complete Hopf algebras""
""4. Rigidity""""3. COMPLETE GROUPS""; ""1. Nilpotent groups""; ""2. Complete groups""; ""3. The Lazard � Mal'cev correspondence""; ""4. The Quillen functor""; ""C. FILTERED MODULES""; ""1. Filtered vs. cofiltered modules""; ""2. Normal maps and exactness""; ""3. Filtered tensor product""; ""4. Complete Differential Algebra""; ""4. THREE MODELS FOR SPACES""; ""1. THE CELLULAR MODEL""; ""1. The homotopical category of dg algebras""; ""2. The homotopical category of dg Hopf algebras up to homotopy""; ""3. The cobar � chain functor and the chain � loop functor""
""4. Compatibility with (tensor) products""""5. The homotopy diagonals""; ""2. THE SULLIVAN MODEL""; ""1. The homotopical category of commutative dg* algebras""; ""2. The Sullivan cofunctor and Stokes' map""; ""3. Extension of Stokes' map""; ""4. Compatibility with (tensor) products""; ""5. Dualization""; ""6. The homotopy diagonals""; ""3. THE QUILLEN MODEL""; ""1. The homotopical category of dg Lie algebras""; ""2. The Quillen functor""; ""3. Connection to the chain � loop functor""; ""4. The group algebra of a free simplicial group""; ""5. A proof of the Quillen equivalence""
""4. MAIN RESULTS""
Record Nr. UNINA-9910788739503321
Majewski Martin <1963->  
Providence, Rhode Island : , : American Mathematical Society, , [2000]
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui