Cohomological tensor functors on representations of the general linear supergroup
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 ( ) --...
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| Main Authors: | , |
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| Format: | Book/Monograph |
| Language: | English |
| Published: |
Providence, RI
American Mathematical Society
June 23, 2021
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| Series: | Memoirs of the American Mathematical Society
volume 270, number 1320 Memoirs of the American Mathematical Society Ser. v.270 |
| In: |
Memoirs of the American Mathematical Society (volume 270, number 1320)
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| Volumes / Articles: | Show Volumes / Articles. |
| Subjects: | |
| Online Access: | Aggregator, lizenzpflichtig: https://ebookcentral.proquest.com/lib/kxp/detail.action?docID=6661105
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| Author Notes: | Thorsten Heidersdorf, Rainer Weissauer |
| Summary: | 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. |
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| Item Description: | Description based on publisher supplied metadata and other sources |
| Physical Description: | Online Resource |
| ISBN: | 9781470465285 |