Cohomological Tensor Functors On Representations Of The General Linear Supergroup
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| Author |
: Thorsten Heidersdorf |
| Publisher |
: American Mathematical Soc. |
| Total Pages |
: 106 |
| Release |
: 2021-07-21 |
| ISBN-10 |
: 9781470447144 |
| ISBN-13 |
: 1470447142 |
| Rating |
: 4/5 (44 Downloads) |
Synopsis Cohomological Tensor Functors on Representations of the General Linear Supergroup by : Thorsten Heidersdorf
We define and study cohomological tensor functors from the category Tn of finite-dimensional representations of the supergroup Gl(n|n) into Tn−r for 0 < r ≤ n. In the case DS : Tn → Tn−1 we prove a formula DS(L) = ΠniLi 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.
| Author |
: Thorsten Heidersdorf |
| Publisher |
: |
| Total Pages |
: 118 |
| Release |
: 2021 |
| ISBN-10 |
: 1470465280 |
| ISBN-13 |
: 9781470465285 |
| Rating |
: 4/5 (80 Downloads) |
Synopsis Cohomological Tensor Functors on Representations of the General Linear Supergroup by : Thorsten Heidersdorf
| Author |
: Filippo Callegaro |
| Publisher |
: Springer |
| Total Pages |
: 465 |
| Release |
: 2017-12-07 |
| ISBN-10 |
: 9783319589718 |
| ISBN-13 |
: 3319589717 |
| Rating |
: 4/5 (18 Downloads) |
Synopsis Perspectives in Lie Theory by : Filippo Callegaro
Lie theory is a mathematical framework for encoding the concept of symmetries of a problem, and was the central theme of an INdAM intensive research period at the Centro de Giorgi in Pisa, Italy, in the academic year 2014-2015. This book gathers the key outcomes of this period, addressing topics such as: structure and representation theory of vertex algebras, Lie algebras and superalgebras, as well as hyperplane arrangements with different approaches, ranging from geometry and topology to combinatorics.
| Author |
: Stuart Margolis |
| Publisher |
: American Mathematical Society |
| Total Pages |
: 135 |
| Release |
: 2021-12-30 |
| ISBN-10 |
: 9781470450427 |
| ISBN-13 |
: 1470450429 |
| Rating |
: 4/5 (27 Downloads) |
Synopsis Cell Complexes, Poset Topology and the Representation Theory of Algebras Arising in Algebraic Combinatorics and Discrete Geometry by : Stuart Margolis
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| Author |
: Pierre Patie |
| Publisher |
: American Mathematical Society |
| Total Pages |
: 182 |
| Release |
: 2021-11-16 |
| ISBN-10 |
: 9781470449360 |
| ISBN-13 |
: 1470449366 |
| Rating |
: 4/5 (60 Downloads) |
Synopsis Spectral Expansions of Non-Self-Adjoint Generalized Laguerre Semigroups by : Pierre Patie
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| Author |
: Zhiwu Lin |
| Publisher |
: American Mathematical Society |
| Total Pages |
: 136 |
| Release |
: 2022-02-02 |
| ISBN-10 |
: 9781470450441 |
| ISBN-13 |
: 1470450445 |
| Rating |
: 4/5 (41 Downloads) |
Synopsis Instability, Index Theorem, and Exponential Trichotomy for Linear Hamiltonian PDEs by : Zhiwu Lin
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| Author |
: Matthias Grüninger |
| Publisher |
: American Mathematical Society |
| Total Pages |
: 154 |
| Release |
: 2022-04-08 |
| ISBN-10 |
: 9781470451349 |
| ISBN-13 |
: 1470451344 |
| Rating |
: 4/5 (49 Downloads) |
Synopsis Cubic Action of a Rank One Group by : Matthias Grüninger
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| Author |
: William Gignac |
| Publisher |
: American Mathematical Society |
| Total Pages |
: 100 |
| Release |
: 2021-11-16 |
| ISBN-10 |
: 9781470449582 |
| ISBN-13 |
: 1470449587 |
| Rating |
: 4/5 (82 Downloads) |
Synopsis Local Dynamics of Non-Invertible Maps Near Normal Surface Singularities by : William Gignac
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| Author |
: Gijs Heuts |
| Publisher |
: American Mathematical Society |
| Total Pages |
: 108 |
| Release |
: 2021-11-16 |
| ISBN-10 |
: 9781470448936 |
| ISBN-13 |
: 1470448939 |
| Rating |
: 4/5 (36 Downloads) |
Synopsis Goodwillie Approximations to Higher Categories by : Gijs Heuts
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| Author |
: Yann Palu |
| Publisher |
: American Mathematical Society |
| Total Pages |
: 95 |
| Release |
: 2021-12-30 |
| ISBN-10 |
: 9781470450045 |
| ISBN-13 |
: 1470450046 |
| Rating |
: 4/5 (45 Downloads) |
Synopsis Non-Kissing Complexes and Tau-Tilting for Gentle Algebras by : Yann Palu
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