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Locally finite root systems / / Ottmar Loos, Erhard Neher
Locally finite root systems / / Ottmar Loos, Erhard Neher
Autore Loos Ottmar
Pubbl/distr/stampa Providence, Rhode Island : , : American Mathematical Society, , 2004
Descrizione fisica 1 online resource (232 p.)
Disciplina 512/.482
Collana Memoirs of the American Mathematical Society
Soggetto topico Lie superalgebras
Root systems (Algebra)
ISBN 1-4704-0412-5
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto ""Contents""; ""Introduction""; ""1. The category of sets in vector spaces""; ""2. Finiteness conditions and bases""; ""3. Locally finite root systems""; ""4. Invariant inner products and the coroot system""; ""5. Weyl groups""; ""6. Integral bases, root bases and Dynkin diagrams""; ""7. Weights and coweights""; ""8. Classification""; ""9. More on Weyl groups and automorphism groups""; ""10. Parabolic subsets and positive systems for symmetric sets in vector spaces""; ""11. Parabolic subsets of root systems and presentations of the root lattice and the Weyl group""
""12. Closed and full subsystems of finite and infinite classical root systems""""13. Parabolic subsets of root systems: classification""; ""14. Positive systems in root systems""; ""15. Positive linear forms and facets""; ""16. Dominant and fundamental weights""; ""17. Gradings of root systems""; ""18. Elementary relations and graphs in 3-graded root systems""; ""Appendix A. Some standard results on finite root systems""; ""Appendix B. Cones defined by totally preordered sets""; ""Bibliography""; ""Index of notations""; ""Index""; ""A""; ""B""; ""C""; ""D""; ""E""; ""F""; ""G""; ""H""; ""I""
""J""""L""; ""M""; ""N""; ""O""; ""P""; ""Q""; ""R""; ""S""; ""T""; ""U""; ""W""; ""Z""
Record Nr. UNINA-9910818015503321
Loos Ottmar  
Providence, Rhode Island : , : American Mathematical Society, , 2004
Materiale a stampa
Lo trovi qui: Univ. Federico II
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Mathematical Foundations of Supersymmetry [[electronic resource] /] / Claudio Carmeli, Lauren Caston, Rita Fioresi
Mathematical Foundations of Supersymmetry [[electronic resource] /] / Claudio Carmeli, Lauren Caston, Rita Fioresi
Autore Carmeli Claudio
Pubbl/distr/stampa Zuerich, Switzerland, : European Mathematical Society Publishing House, 2011
Descrizione fisica 1 online resource (300 pages)
Altri autori (Persone) CastonLauren
FioresiRita, 1966-
Collana EMS Series of Lectures in Mathematics (ELM)
EMS series of lectures in mathematics
Soggetto topico Supersymmetry
Supermanifolds (Mathematics)
Lie superalgebras
ISBN 9783037195970 (electronic book)
3-03719-597-5
Classificazione 58-xx14-xx17-xx32-xx
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Record Nr. UNINA-9910151929103321
Carmeli Claudio  
Zuerich, Switzerland, : European Mathematical Society Publishing House, 2011
Materiale a stampa
Lo trovi qui: Univ. Federico II
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New developments in Lie theory and its applications : seventh workshop on Lie theory and its applications, November 27-December 1, 2009, Córdoba, Argentina / / Carina Boyallian, Esther Galina, Linda Saal, editors
New developments in Lie theory and its applications : seventh workshop on Lie theory and its applications, November 27-December 1, 2009, Córdoba, Argentina / / Carina Boyallian, Esther Galina, Linda Saal, editors
Pubbl/distr/stampa Providence, Rhode Island : , : American Mathematical Society, , [2011]
Descrizione fisica 1 online resource (169 p.)
Disciplina 512/.482
Collana Contemporary mathematics
Soggetto topico Lie superalgebras
Hopf algebras
Harmonic analysis
Soggetto genere / forma Electronic books.
ISBN 0-8218-8223-6
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto ""Contents""; ""Preface""; ""Lattices, Frames and Norton Algebras of Dual Polar Graphs""; ""Asymptotic Spherical Analysis""; ""Restriction of Discrete Series of a Semisimple Lie Group to Reductive Subgroups""; ""Paley-Wiener Theorems with Respect to the Spectral Parameter""; ""Extension of Symmetric Spaces and Restriction of Weyl Groups and Invariant Polynomials""; ""Intertwining Operators, the Cayley Transform, and the Contraction of K to NM""; ""On Generalized Weil Representations over Involutive Rings""; ""On Pointed Hopf Superalgebras""; ""Quasireductive Supergroups""
Record Nr. UNINA-9910480116403321
Providence, Rhode Island : , : American Mathematical Society, , [2011]
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
New developments in Lie theory and its applications : seventh workshop on Lie theory and its applications, November 27-December 1, 2009, Córdoba, Argentina / / Carina Boyallian, Esther Galina, Linda Saal, editors
New developments in Lie theory and its applications : seventh workshop on Lie theory and its applications, November 27-December 1, 2009, Córdoba, Argentina / / Carina Boyallian, Esther Galina, Linda Saal, editors
Pubbl/distr/stampa Providence, Rhode Island : , : American Mathematical Society, , [2011]
Descrizione fisica 1 online resource (169 p.)
Disciplina 512/.482
Collana Contemporary mathematics
Soggetto topico Lie superalgebras
Hopf algebras
Harmonic analysis
ISBN 0-8218-8223-6
Classificazione 17A7016T0505C1243A9043A3543A7522E27
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Contents -- Preface -- Lattices, Frames and Norton Algebras of Dual Polar Graphs -- Asymptotic Spherical Analysis -- Restriction of Discrete Series of a Semisimple Lie Group to Reductive Subgroups -- Paley-Wiener Theorems with Respect to the Spectral Parameter -- Extension of Symmetric Spaces and Restriction of Weyl Groups and Invariant Polynomials -- Intertwining Operators, the Cayley Transform, and the Contraction of K to NM -- On Generalized Weil Representations over Involutive Rings -- On Pointed Hopf Superalgebras -- Quasireductive Supergroups.
Record Nr. UNINA-9910788634903321
Providence, Rhode Island : , : American Mathematical Society, , [2011]
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
New developments in Lie theory and its applications : seventh workshop on Lie theory and its applications, November 27-December 1, 2009, Córdoba, Argentina / / Carina Boyallian, Esther Galina, Linda Saal, editors
New developments in Lie theory and its applications : seventh workshop on Lie theory and its applications, November 27-December 1, 2009, Córdoba, Argentina / / Carina Boyallian, Esther Galina, Linda Saal, editors
Pubbl/distr/stampa Providence, Rhode Island : , : American Mathematical Society, , [2011]
Descrizione fisica 1 online resource (169 p.)
Disciplina 512/.482
Collana Contemporary mathematics
Soggetto topico Lie superalgebras
Hopf algebras
Harmonic analysis
ISBN 0-8218-8223-6
Classificazione 17A7016T0505C1243A9043A3543A7522E27
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Contents -- Preface -- Lattices, Frames and Norton Algebras of Dual Polar Graphs -- Asymptotic Spherical Analysis -- Restriction of Discrete Series of a Semisimple Lie Group to Reductive Subgroups -- Paley-Wiener Theorems with Respect to the Spectral Parameter -- Extension of Symmetric Spaces and Restriction of Weyl Groups and Invariant Polynomials -- Intertwining Operators, the Cayley Transform, and the Contraction of K to NM -- On Generalized Weil Representations over Involutive Rings -- On Pointed Hopf Superalgebras -- Quasireductive Supergroups.
Record Nr. UNINA-9910822596803321
Providence, Rhode Island : , : American Mathematical Society, , [2011]
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
Representations of shifted Yangians and finite W-algebras / / Jonathan Brundan, Alexander Kleshchev
Representations of shifted Yangians and finite W-algebras / / Jonathan Brundan, Alexander Kleshchev
Autore Brundan Jonathan <1970->
Pubbl/distr/stampa Providence, Rhode Island : , : American Mathematical Society, , [2008]
Descrizione fisica 1 online resource (122 p.)
Disciplina 512/.22
Collana Memoirs of the American Mathematical Society
Soggetto topico Representations of quantum groups
Lie superalgebras
Soggetto genere / forma Electronic books.
ISBN 1-4704-0524-5
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto ""Contents""; ""Chapter 1. Introduction""; ""Acknowledgements""; ""Chapter 2. Shifted Yangians""; ""2.1. Generators and relations""; ""2.2. PBW theorem""; ""2.3. Some automorphisms""; ""2.4. Parabolic generators""; ""2.5. Hopf algebra structure""; ""2.6. The center of Y[sub(n)](Ï?)""; ""Chapter 3. Finite W-algebras""; ""3.1. Pyramids""; ""3.2. Finite W-algebras""; ""3.3. Invariants""; ""3.4. Finite W-algebras are quotients of shifted Yangians""; ""3.5. More automorphisms""; ""3.6. Miura transform""; ""3.7. Vanishing of higher T[sup(r)][sub(i,j)]'s""; ""3.8. Harish-Chandra homomorphisms""
""Chapter 4. Dual canonical bases""""4.1. Tableaux""; ""4.2. Dual canonical bases""; ""4.3. Crystals""; ""4.4. Consequences of the Kazhdan-Lusztig conjecture""; ""Chapter 5. Highest weight theory""; ""5.1. Admissible modules""; ""5.2. Gelfand-Tsetlin characters""; ""5.3. Highest weight modules""; ""5.4. Classification of admissible irreducible representations""; ""5.5. Composition multiplicities""; ""Chapter 6. Verma modules""; ""6.1. Parametrization of highest weights""; ""6.2. Characters of Verma modules""; ""6.3. The linkage principle""; ""6.4. The center of W(Ï€)""
""6.5. Proof of Theorem 6.2""""Chapter 7. Standard modules""; ""7.1. Two rows""; ""7.2. Classification of finite dimensional irreducible representations""; ""7.3. Tensor products""; ""7.4. Characters of standard modules""; ""7.5. Grothendieck groups""; ""Chapter 8. Character formulae""; ""8.1. Skryabin's theorem""; ""8.2. Tensor identities""; ""8.3. Translation functors""; ""8.4. Translation commutes with duality""; ""8.5. Whittaker functor""; ""Notation""; ""Bibliography""
Record Nr. UNINA-9910480756603321
Brundan Jonathan <1970->  
Providence, Rhode Island : , : American Mathematical Society, , [2008]
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Representations of shifted Yangians and finite W-algebras / / Jonathan Brundan, Alexander Kleshchev
Representations of shifted Yangians and finite W-algebras / / Jonathan Brundan, Alexander Kleshchev
Autore Brundan Jonathan <1970->
Pubbl/distr/stampa Providence, Rhode Island : , : American Mathematical Society, , [2008]
Descrizione fisica 1 online resource (122 p.)
Disciplina 512/.22
Collana Memoirs of the American Mathematical Society
Soggetto topico Representations of quantum groups
Lie superalgebras
ISBN 1-4704-0524-5
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto ""Contents""; ""Chapter 1. Introduction""; ""Acknowledgements""; ""Chapter 2. Shifted Yangians""; ""2.1. Generators and relations""; ""2.2. PBW theorem""; ""2.3. Some automorphisms""; ""2.4. Parabolic generators""; ""2.5. Hopf algebra structure""; ""2.6. The center of Y[sub(n)](Ï?)""; ""Chapter 3. Finite W-algebras""; ""3.1. Pyramids""; ""3.2. Finite W-algebras""; ""3.3. Invariants""; ""3.4. Finite W-algebras are quotients of shifted Yangians""; ""3.5. More automorphisms""; ""3.6. Miura transform""; ""3.7. Vanishing of higher T[sup(r)][sub(i,j)]'s""; ""3.8. Harish-Chandra homomorphisms""
""Chapter 4. Dual canonical bases""""4.1. Tableaux""; ""4.2. Dual canonical bases""; ""4.3. Crystals""; ""4.4. Consequences of the Kazhdan-Lusztig conjecture""; ""Chapter 5. Highest weight theory""; ""5.1. Admissible modules""; ""5.2. Gelfand-Tsetlin characters""; ""5.3. Highest weight modules""; ""5.4. Classification of admissible irreducible representations""; ""5.5. Composition multiplicities""; ""Chapter 6. Verma modules""; ""6.1. Parametrization of highest weights""; ""6.2. Characters of Verma modules""; ""6.3. The linkage principle""; ""6.4. The center of W(Ï€)""
""6.5. Proof of Theorem 6.2""""Chapter 7. Standard modules""; ""7.1. Two rows""; ""7.2. Classification of finite dimensional irreducible representations""; ""7.3. Tensor products""; ""7.4. Characters of standard modules""; ""7.5. Grothendieck groups""; ""Chapter 8. Character formulae""; ""8.1. Skryabin's theorem""; ""8.2. Tensor identities""; ""8.3. Translation functors""; ""8.4. Translation commutes with duality""; ""8.5. Whittaker functor""; ""Notation""; ""Bibliography""
Record Nr. UNINA-9910788853303321
Brundan Jonathan <1970->  
Providence, Rhode Island : , : American Mathematical Society, , [2008]
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui