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 | ||
|
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 | ||
|
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 | ||
|
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 | ||
|
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 | ||
|
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 | ||
|
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 | ||
|
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 | ||
|
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 | ||
|
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 | ||
|