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Cohomological Tensor Functors on Representations of the General Linear Supergroup
| Cohomological Tensor Functors on Representations of the General Linear Supergroup |
| Autore | Heidersdorf Thorsten |
| Edizione | [1st ed.] |
| Pubbl/distr/stampa | Providence : , : American Mathematical Society, , 2021 |
| Descrizione fisica | 1 online resource (118 pages) |
| Disciplina | 512/.57 |
| Altri autori (Persone) | WeissauerRainer |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Tensor algebra
Tensor products Nonassociative rings and algebras -- Lie algebras and Lie superalgebras -- Representations, algebraic theory (weights) Nonassociative rings and algebras -- Lie algebras and Lie superalgebras -- Simple, semisimple, reductive (super)algebras Nonassociative rings and algebras -- Lie algebras and Lie superalgebras -- Homological methods in Lie (super)algebras Category theory; homological algebra -- Categories with structure -- Monoidal categories (= multiplicative categories), symmetric monoidal categories, braided categories Group theory and generalizations -- Linear algebraic groups and related topics -- Representation theory |
| ISBN |
9781470465285
1470465280 |
| Classificazione | 17B1017B2017B5518D1020G05 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Cover -- Title page -- Chapter 1. Introduction -- Chapter 2. Cohomological Tensor Functors -- 2.1. The superlinear groups -- 2.2. The Duflo-Serganova functor -- 2.3. Cohomology functors -- 2.4. Support varieties and the kernel of -- 2.5. The tensor functor -- 2.6. The relation between ( ) and ( ) -- 2.7. Hodge decomposition -- 2.8. The case > -- 1 -- 2.9. Boundary maps -- 2.10. Highest weight modules -- 2.11. The Casimir -- Chapter 3. The Main Theorem and its Proof -- 3.1. The language of Brundan and Stroppel -- 3.2. On segments, sectors and plots -- 3.3. Mixed tensors and ground states -- 3.4. Sign normalizations -- 3.5. The main theorem -- 3.6. Strategy of the proof -- 3.7. Modules of Loewy length 3 -- 3.8. Inductive Control over -- 3.9. Moves -- Chapter 4. Consequences of the Main Theorem -- 4.1. Tannaka Duals -- 4.2. Cohomology I -- 4.3. Cohomology II -- 4.4. Cohomology III -- 4.5. The forest formula -- 4.6. -module structure on the cohomology ^{∙}_{ _{ }} -- 4.7. Primitive elements of ^{∙}_{ _{ }}( (1)) -- 4.8. Kac module of 1 -- 4.9. Strict morphisms -- 4.10. The module (( )ⁿ) -- 4.11. The basic hook representations -- Bibliography -- Back Cover. |
| Record Nr. | UNINA-9910957044903321 |
Heidersdorf Thorsten
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| Providence : , : American Mathematical Society, , 2021 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Conformal Field Theory, Automorphic Forms and Related Topics : CFT, Heidelberg, September 19-23, 2011 / / edited by Winfried Kohnen, Rainer Weissauer
| Conformal Field Theory, Automorphic Forms and Related Topics : CFT, Heidelberg, September 19-23, 2011 / / edited by Winfried Kohnen, Rainer Weissauer |
| Edizione | [1st ed. 2014.] |
| Pubbl/distr/stampa | Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2014 |
| Descrizione fisica | 1 online resource (370 p.) |
| Disciplina | 530.143 |
| Collana | Contributions in Mathematical and Computational Sciences |
| Soggetto topico |
Number theory
Physics Number Theory Mathematical Methods in Physics |
| ISBN | 3-662-43831-3 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | 1. A. Milas: Characters of Modules of Irrational Vertex Algebras -- 2. G. Mason: Lattice subalgebras of strongly regular vertex operator algebras -- 3. C. Dong and C. Jiang: A Characterization of the vertex operator algebra V -- 4. H. Yamauchi: Extended Griess algebras and Matsuo-Norton trace formulae -- 5. M.R. Gaberdiel and R. Volpato: Mathieu Moonshine and Orbifold K3s -- 6. M.C.N. Cheng and J.F.R. Duncan: Rademacher Sums and Rademacher Series -- 7. G. Mason and M.P. Tuite: Free Bosonic Vertex Operator Algebras on Genus Two Riemann Surfaces II -- 8. A. Zuevsky: Twisted correlation functions on self-sewn Riemann surfaces via generalized vertex algebra of intertwiners -- 9. T. Gannon: The theory of vector-valued modular forms for the modular group -- 10. A.I. Molev and E.E. Mukhin: Yangian characters and classical W-algebras -- 11. Appendix: G. Mason: Vertex Operator Algebras, Modular Forms and Moonshine. |
| Record Nr. | UNINA-9910299968803321 |
| Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2014 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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