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Biblioteca

MARC Lista (tabellare)
Groups, rings, group rings, and Hopf algebras : international conference in honor of Donald S. Passman's 75th birthday, October 2-4, 2015, Loyola University, Chicago, IL : AMS special session in honor of Donald S. Passman's 75th birthday, October 3-4, 2015, Loyola University, Chicago, IL / / Jeffrey Bergen, Stefan Catoiu, William Chin, editors
Groups, rings, group rings, and Hopf algebras : international conference in honor of Donald S. Passman's 75th birthday, October 2-4, 2015, Loyola University, Chicago, IL : AMS special session in honor of Donald S. Passman's 75th birthday, October 3-4, 2015, Loyola University, Chicago, IL / / Jeffrey Bergen, Stefan Catoiu, William Chin, editors
Pubbl/distr/stampa Providence, Rhode Island : , : American Mathematical Society, , 2017
Descrizione fisica 1 online resource (294 pages) : illustrations
Disciplina 512.4
Collana Contemporary mathematics
Soggetto topico Group algebras
Group rings
Hopf algebras
Classificazione 16Dxx16Gxx16Sxx16S3416Wxx17Bxx20Cxx20Dxx
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Record Nr. UNINA-9910796025103321
Providence, Rhode Island : , : American Mathematical Society, , 2017
Materiale a stampa
Lo trovi qui: Univ. Federico II
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Groups, rings, group rings, and Hopf algebras : international conference in honor of Donald S. Passman's 75th birthday, October 2-4, 2015, Loyola University, Chicago, IL : AMS special session in honor of Donald S. Passman's 75th birthday, October 3-4, 2015, Loyola University, Chicago, IL / / Jeffrey Bergen, Stefan Catoiu, William Chin, editors
Groups, rings, group rings, and Hopf algebras : international conference in honor of Donald S. Passman's 75th birthday, October 2-4, 2015, Loyola University, Chicago, IL : AMS special session in honor of Donald S. Passman's 75th birthday, October 3-4, 2015, Loyola University, Chicago, IL / / Jeffrey Bergen, Stefan Catoiu, William Chin, editors
Pubbl/distr/stampa Providence, Rhode Island : , : American Mathematical Society, , 2017
Descrizione fisica 1 online resource (294 pages) : illustrations
Disciplina 512.4
Collana Contemporary mathematics
Soggetto topico Group algebras
Group rings
Hopf algebras
Classificazione 16Dxx16Gxx16Sxx16S3416Wxx17Bxx20Cxx20Dxx
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Record Nr. UNINA-9910827410103321
Providence, Rhode Island : , : American Mathematical Society, , 2017
Materiale a stampa
Lo trovi qui: Univ. Federico II
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H-spaces : actes de la réunion de Neuchâtel (Suisse) août 1970. / / edited by François Sigrist
H-spaces : actes de la réunion de Neuchâtel (Suisse) août 1970. / / edited by François Sigrist
Edizione [1st ed. 1971.]
Pubbl/distr/stampa Berlin, Germany ; ; New York, New York : , : Springer-Verlag, , [1971]
Descrizione fisica 1 online resource (V, 156 p.)
Disciplina 514.224
Collana Lecture Notes in Mathematics
Soggetto topico H-spaces
Hopf algebras
Mathematics
ISBN 3-540-36621-0
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Families of finite H-complexes — Revisited -- H-spaces Mod p (I) -- H-spaces Mod p (II) -- Mod p decomposition of lie groups -- On spherical classes in the cohomology of H-spaces -- On the homotopy classification of rank 3-H-spaces -- H-maps between spheres -- On H-spaces of finite dimension -- Infinite loop spaces — An historical survey -- Classifying spaces for homotopy-everything H-spaces -- The universal H-space of a monoid -- Categorical constructions in algebraic topology -- On a type of differential Hopf algebras -- Polynomial algebras over the algebra of cohomology operations -- On quasi-fibrations and orthogonal bundles -- Some remarks on vector fields -- A finite complex whose rational homotopy is not finitely generated -- H-space problems -- Bibliography on H-spaces.
Record Nr. UNISA-996466667203316
Berlin, Germany ; ; New York, New York : , : Springer-Verlag, , [1971]
Materiale a stampa
Lo trovi qui: Univ. di Salerno
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Hopf algebras / Eiichi Abe ; translated by Hisae Kinoshita and Hiroko Tanaka
Hopf algebras / Eiichi Abe ; translated by Hisae Kinoshita and Hiroko Tanaka
Autore Abe, Eiichi
Pubbl/distr/stampa Cambridge, [Eng] ; New York : Cambridge University Press, 1980
Descrizione fisica xii, 284 p. ; 23 cm
Disciplina 512.55
Collana Cambridge tracts in mathematics ; 74
Soggetto topico Hopf algebras
ISBN 0521222400
Classificazione AMS 16W30
LC QA613.8.A213
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Titolo uniforme
Record Nr. UNISALENTO-991000986249707536
Abe, Eiichi  
Cambridge, [Eng] ; New York : Cambridge University Press, 1980
Materiale a stampa
Lo trovi qui: Univ. del Salento
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Hopf algebras : an introduction / Sorin Dăscălescu, Constantin Năstăsescu, Șerban Raianu
Hopf algebras : an introduction / Sorin Dăscălescu, Constantin Năstăsescu, Șerban Raianu
Autore Dăscălescu, Sorin
Pubbl/distr/stampa New York : Marcel Dekker, c2001
Descrizione fisica ix, 401 p. : ill. ; 24 cm
Disciplina 512.55
Altri autori (Persone) Năstăsescu, Constantinauthor
Raianu, Șerbanauthor
Collana Monographs and textbooks in pure and applied mathematics ; 235
Soggetto topico Hopf algebras
ISBN 0824704819
Classificazione AMS 16T
LC QA613.8.D37
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Record Nr. UNISALENTO-991001720429707536
Dăscălescu, Sorin  
New York : Marcel Dekker, c2001
Materiale a stampa
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Hopf algebras [[electronic resource] /] / David E. Radford
Hopf algebras [[electronic resource] /] / David E. Radford
Autore Radford David E
Pubbl/distr/stampa Hackensack, N.J., : World Scientific, 2012
Descrizione fisica 1 online resource
Disciplina 512/.55
Collana Series on knots and everything
Soggetto topico Hopf algebras
Soggetto genere / forma Electronic books.
ISBN 1-280-66940-3
9786613646330
981-4338-66-4
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Record Nr. UNINA-9910451619503321
Radford David E  
Hackensack, N.J., : World Scientific, 2012
Materiale a stampa
Lo trovi qui: Univ. Federico II
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Hopf algebras [[electronic resource] /] / David E. Radford
Hopf algebras [[electronic resource] /] / David E. Radford
Autore Radford David E
Pubbl/distr/stampa Hackensack, N.J., : World Scientific, 2012
Descrizione fisica 1 online resource
Disciplina 512/.55
Collana Series on knots and everything
Soggetto topico Hopf algebras
ISBN 1-280-66940-3
9786613646330
981-4338-66-4
Classificazione MAT 160f
SK 230
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Record Nr. UNINA-9910779285403321
Radford David E  
Hackensack, N.J., : World Scientific, 2012
Materiale a stampa
Lo trovi qui: Univ. Federico II
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Hopf algebras [[electronic resource] /] / David E. Radford
Hopf algebras [[electronic resource] /] / David E. Radford
Autore Radford David E
Edizione [1st ed.]
Pubbl/distr/stampa Hackensack, N.J., : World Scientific, 2012
Descrizione fisica 1 online resource
Disciplina 512/.55
Collana Series on knots and everything
Soggetto topico Hopf algebras
ISBN 1-280-66940-3
9786613646330
981-4338-66-4
Classificazione MAT 160f
SK 230
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Intro -- Contents -- Preface -- 1. Preliminaries -- 1.1 Notation and terminology conventions -- 1.2 Rank of a tensor -- 1.3 Topological aspects of vector space duals -- Chapter notes -- 2. Coalgebras -- 2.1 Algebras and coalgebras, basic definitions -- 2.2 Comatrix identities, the fundamental theorem of coalgebras -- 2.3 The dual algebra -- 2.4 The wedge product -- 2.5 The dual coalgebra -- 2.6 Double duals -- 2.7 The cofree coalgebra on a vector space -- Chapter notes -- 3. Representations of coalgebras -- 3.1 Rational modules of the dual algebra -- 3.2 Comodules -- 3.3 Mr and Mr -- 3.4 The coradical of a coalgebra -- 3.5 Injective comodules -- 3.6 Coalgebras which are submodules of their dual algebras -- 3.7 Indecomposable coalgebras -- Chapter notes -- 4. The coradical .ltration and related structures -- 4.1 Filtrations of coalgebras -- 4.2 The wedge product and the coradical filtration -- 4.3 Idempotents and the coradical filtration -- 4.4 Graded algebras and coalgebras -- 4.5 The cofree pointed irreducible coalgebra on a vector space -- 4.6 The radical of the dual algebra -- 4.7 Free pointed coalgebras associated to coalgebras -- 4.8 Linked simple subcoalgebras -- Chapter notes -- 5. Bialgebras -- 5.1 Basic definitions and results -- 5.2 The dual bialgebra -- 5.3 The free bialgebra on a coalgebra and related constructions -- 5.4 The universal enveloping algebra -- 5.5 The cofree bialgebra on an algebra -- 5.6 Filtrations and gradings of bialgebras -- 5.7 Representations of bialgebras -- Chapter notes -- 6. The convolution algebra -- 6.1 Definition and basic properties -- 6.2 Invertible elements in the convolution algebra -- Chapter notes -- 7. Hopf algebras -- 7.1 Definition of Hopf algebra, the antipode -- 7.2 Q-binomial symbols -- 7.3 Two families of examples -- 7.4 The dual Hopf algebra -- 7.5 The free Hopf algebra on a coalgebra.
7.6 When a bialgebra is a Hopf algebra -- 7.7 Two-cocycles, pairings, and skew pairings of bialgebras -- 7.8 Twists of bialgebras -- 7.9 Filtrations and gradings on Hopf algebras -- 7.10 The cofree pointed irreducible Hopf algebra on an algebra -- 7.11 The shuffle algebra -- Chapter notes -- 8. Hopf modules and co-Hopf modules -- 8.1 Definition of Hopf module and examples -- 8.2 The structure of Hopf modules -- 8.3 Co-Hopf modules -- 8.4 A basic co-Hopf module and its dual -- Chapter notes -- 9. Hopf algebras as modules over Hopf subalgebras -- 9.1 Filtrations whose base term is a Hopf subalgebra -- 9.2 Relative Hopf modules -- 9.3 When Hopf algebras free over their Hopf subalgebras -- 9.4 An example of a Hopf algebra which is not free over some Hopf subalgebra -- Chapter notes -- 10. Integrals -- 10.1 Definition of integrals for a bialgebra and its dual algebra -- 10.2 Existence and uniqueness of integrals for a Hopf algebra -- 10.3 Integrals and semisimplicity -- 10.4 Integrals and the trace function -- 10.5 Integrals and the antipode -- 10.6 Generalized integrals and grouplike elements -- 10.7 Integrals, the center, and cocommutative elements of the dual -- 10.8 Integrals and co-semisimplicity -- 10.9 Existence and uniqueness results for integrals of the dual algebra of a Hopf algebra -- Chapter notes -- 11. Actions by bialgebras and Hopf algebras -- 11.1 Monoidal categories -- 11.2 Module actions and module algebras, coalgebras -- 11.3 Comodule actions and comodule algebras, coalgebras -- 11.4 Duality between the smash product and smash coproduct -- 11.5 Prebraiding, braiding structures on a monoidal category -- 11.6 Yetter-Drinfel'd modules and biproducts -- 11.7 Abstract characterization of biproducts -- Chapter notes -- 12. Quasitriangular bialgebras and Hopf algebras -- 12.1 The quantum Yang-Baxter and braid equations, Yang- Baxter algebras.
12.2 Almost cocommutative Hopf algebras, quasitriangular bialgebras and Hopf algebras -- 12.3 Grouplike and ribbon elements -- 12.4 Factorizable Hopf algebras -- Chapter notes -- 13. The Drinfel'd double of a finite-dimensional Hopf algebra -- 13.1 The double and its category of representations -- 13.2 Basic properties of the double -- 13.3 Characterizations of the double as a quasitriangular Hopf algebra -- 13.4 The dual of the double -- 13.5 The double of a quasitriangular Hopf algebra -- 13.6 The double of a factorizable Hopf algebra -- 13.7 Quasi-ribbon and ribbon elements of the double -- 13.8 Generalized doubles and their duals -- Chapter notes -- 14. Coquasitriangular bialgebras and Hopf algebras -- 14.1 Coquasitriangular and Yang-Baxter coalgebras -- 14.2 Coquasitriangular bialgebras and Hopf algebras -- 14.3 The square of the antipode of a coquasitriangular Hopf algebra -- 14.4 The free coquasitriangular bialgebra on a coquasitriangular coalgebra -- Chapter notes -- 15. Pointed Hopf algebras -- 15.1 Crossed products -- 15.2 Pointed Hopf algebras as crossed products -- 15.3 Cocommutative pointed Hopf algebras -- the characteristic 0 case -- 15.4 Minimal-pointed Hopf algebras -- 15.5 Pointed Hopf algebras, biproducts, and Nichols algebras -- 15.6 Quantized enveloping algebras and their generalizations -- 15.7 Ore extensions and pointed Hopf algebras -- Chapter notes -- 16. Finite-dimensional Hopf algebras in characteristic 0 -- 16.1 Characterizations of semisimple Hopf algebras -- 16.2 Isomorphism types of Hopf algebras of the same dimension -- 16.3 Some very basic classification results -- Bibliography -- Index.
Record Nr. UNINA-9910809651203321
Radford David E  
Hackensack, N.J., : World Scientific, 2012
Materiale a stampa
Lo trovi qui: Univ. Federico II
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Hopf algebras / David E. Radford
Hopf algebras / David E. Radford
Autore Radford, David E.
Pubbl/distr/stampa Singapore ; Hackensack, NJ : World Scientific, c2012
Descrizione fisica xxii, 559 p. : ill. ; 24 cm
Disciplina 512.55
Collana Series on knots and everything ; 49
Soggetto topico Hopf algebras
ISBN 9789814335997 (hardcover : alk. paper)
9814335991 (hardcover : alk. paper)
Classificazione AMS 16-01
AMS 16T05
AMS 16T
LC QA613.8.R33
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Record Nr. UNISALENTO-991002789349707536
Radford, David E.  
Singapore ; Hackensack, NJ : World Scientific, c2012
Materiale a stampa
Lo trovi qui: Univ. del Salento
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Hopf algebras and congruence subgroups / / Yorck Sommerhäuser, Yongchang Zhu
Hopf algebras and congruence subgroups / / Yorck Sommerhäuser, Yongchang Zhu
Autore Sommerhäuser Yorck <1966->
Pubbl/distr/stampa Providence, Rhode Island : , : American Mathematical Society, , 2012
Descrizione fisica 1 online resource (134 p.)
Disciplina 512/.55
Collana Memoirs of the American Mathematical Society
Soggetto topico Hopf algebras
Modular groups
Soggetto genere / forma Electronic books.
ISBN 0-8218-9108-1
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto ""Contents""; ""Abstract""; ""Introduction""; ""Chapter 1. The Modular Group""; ""1.1. Generators and relations""; ""1.2. Congruence subgroups""; ""1.3. Orbits and congruence relations""; ""1.4. Presentations of the reduced modular group""; ""Chapter 2. Quasitriangular Hopf Algebras""; ""2.1. Quasitriangular Hopf algebras""; ""2.2. The Drinfel�d double construction""; ""2.3. Integrals of the Drinfel�d double""; ""2.4. Twisting""; ""Chapter 3. Factorizable Hopf Algebras""; ""3.1. Doubles of quasitriangular Hopf algebras""; ""3.2. Factorizable Hopf algebras""
""3.3. The coproduct of the evaluation form""""3.4. The double and the tensor product""; ""3.5. Integrals of factorizable Hopf algebras""; ""Chapter 4. The Action of the Modular Group""; ""4.1. The role of the integral""; ""4.2. The inverse of \ ""; ""4.3. Ribbon elements""; ""4.4. The linearity of the action""; ""4.5. Integrals, ribbon elements, and the double""; ""4.6. The modular group and the double""; ""Chapter 5. The Semisimple Case""; ""5.1. The character ring""; ""5.2. The Verlinde matrix""; ""5.3. Matrix identities""; ""5.4. A comparison""; ""5.5. The exponent""
""5.6. Radford�s example""""Chapter 6. The Case of the Drinfel�d Double""; ""6.1. The role of the evaluation form""; ""6.2. The new maps""; ""6.3. The first relation""; ""6.4. The second approach to the action of the modular group""; ""6.5. Matrix representations of the new maps""; ""Chapter 7. Induced Modules""; ""7.1. Induction""; ""7.2. Induction and duality""; ""7.3. The relation with the center construction""; ""7.4. The relation of the coherence properties""; ""7.5. Adjoint functors""; ""7.6. More coherence properties""; ""Chapter 8. Equivariant Frobenius-Schur Indicators""
""8.1. Equivariant Frobenius-Schur indicators""""8.2. Indicators and duality""; ""8.3. The equivariance theorem""; ""8.4. The orbit theorem""; ""Chapter 9. Two Congruence Subgroup Theorems""; ""9.1. The action on the character ring""; ""9.2. Induction and multiplicities""; ""9.3. The congruence subgroup theorem for the Drinfel�d double""; ""9.4. The projective congruence subgroup theorem""; ""Chapter 10. The Action of the Galois Group""; ""10.1. The Galois group and the character ring""; ""10.2. The semilinear actions""; ""10.3. The action on the center""
""10.4. Representations of the Drinfel�d double""""10.5. The equivariance of the isomorphism""; ""Chapter 11. Galois Groups and Indicators""; ""11.1. A digression on Frobenius algebras""; ""11.2. The invariance of the induced trivial module""; ""11.3. The action and the indicators""; ""11.4. Diagonal matrices""; ""11.5. The Galois group and the modular group""; ""Chapter 12. Galois Groups and Congruence Subgroups""; ""12.1. The Hopf symbol""; ""12.2. Properties of the Hopf symbol""; ""12.3. The Hopf symbol and the Jacobi symbol""; ""12.4. The linear congruence subgroup theorem""; ""Notes""
""Bibliography""
Record Nr. UNINA-9910480527203321
Sommerhäuser Yorck <1966->  
Providence, Rhode Island : , : American Mathematical Society, , 2012
Materiale a stampa
Lo trovi qui: Univ. Federico II
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