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1. |
Record Nr. |
UNINA9911080674403321 |
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Titolo |
Martha A. Calvert. March 6, 1958. -- Committed to the Committee of the Whole House and ordered to be printed |
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Pubbl/distr/stampa |
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Washington, DC : , : [publisher not identified], , 1958 |
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Descrizione fisica |
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1 online resource (4 pages) |
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Collana |
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House report / 85th Congress, 2nd session. House ; ; no. 1465 |
[United States congressional serial set] ; ; [serial set no. 12078] |
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Altri autori (Persone) |
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WalterFrancis E <1894-1963> (Francis Eugene), (Democrat (PA)) |
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Soggetti |
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Citizenship, Loss of |
Citizenship |
Claims |
Legislative materials. |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Batch processed record: Metadata reviewed, not verified. Some fields updated by batch processes. |
FDLP item number not assigned. |
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2. |
Record Nr. |
UNINA9911148195903321 |
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Autore |
Heidersdorf Thorsten |
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Titolo |
Cohomological Tensor Functors on Representations of the General Linear Supergroup |
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Pubbl/distr/stampa |
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Providence : , : American Mathematical Society, , 2021 |
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©2021 |
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ISBN |
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Edizione |
[1st ed.] |
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Descrizione fisica |
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1 online resource (118 pages) |
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Collana |
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Memoirs of the American Mathematical Society ; ; v.270 |
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Classificazione |
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17B1017B2017B5518D1020G05 |
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Altri autori (Persone) |
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Disciplina |
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Soggetti |
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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 |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Nota di bibliografia |
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Includes bibliographical references. |
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Nota di contenuto |
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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 |
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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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Sommario/riassunto |
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"We define and study cohomological tensor functors from the category Tn of finite-dimensional representations of the supergroup for the image of an arbitrary irreducible representation. In particular DS(L) is semisimple and multiplicity free. We derive a few applications of this theorem such as the degeneration of certain spectral sequences and a formula for the modified superdimension of an irreducible representation"-- |
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