Cohomological Tensor Functors on Representations of the General Linear Supergroup

Cohomological Tensor Functors on Representations of the General Linear Supergroup
Author :
Publisher : American Mathematical Soc.
Total Pages : 106
Release :
ISBN-10 : 9781470447144
ISBN-13 : 1470447142
Rating : 4/5 (142 Downloads)

Book Synopsis Cohomological Tensor Functors on Representations of the General Linear Supergroup by : Thorsten Heidersdorf

Download or read book Cohomological Tensor Functors on Representations of the General Linear Supergroup written by Thorsten Heidersdorf and published by American Mathematical Soc.. This book was released on 2021-07-21 with total page 106 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.


Cohomological Tensor Functors on Representations of the General Linear Supergroup Related Books

Cohomological Tensor Functors on Representations of the General Linear Supergroup
Language: en
Pages: 106
Authors: Thorsten Heidersdorf
Categories: Education
Type: BOOK - Published: 2021-07-21 - Publisher: American Mathematical Soc.

GET EBOOK

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 ≤
Cohomological Tensor Functors on Representations of the General Linear Supergroup
Language: en
Pages: 118
Authors: Thorsten Heidersdorf
Categories: Electronic books
Type: BOOK - Published: 2021 - Publisher:

GET EBOOK

Perspectives in Lie Theory
Language: en
Pages: 465
Authors: Filippo Callegaro
Categories: Mathematics
Type: BOOK - Published: 2017-12-07 - Publisher: Springer

GET EBOOK

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 t
Cell Complexes, Poset Topology and the Representation Theory of Algebras Arising in Algebraic Combinatorics and Discrete Geometry
Language: en
Pages: 135
Authors: Stuart Margolis
Categories: Mathematics
Type: BOOK - Published: 2021-12-30 - Publisher: American Mathematical Society

GET EBOOK

View the abstract.
Spectral Expansions of Non-Self-Adjoint Generalized Laguerre Semigroups
Language: en
Pages: 182
Authors: Pierre Patie
Categories: Mathematics
Type: BOOK - Published: 2021-11-16 - Publisher: American Mathematical Society

GET EBOOK

View the abstract.