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Cohomological Tensor Functors On Representations Of The General Linear Supergroup Thorsten Heidersdorf

SKU: BELL-48299862

$ 31.00 ~~$ 45.00~~ (-31%)

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Cohomological Tensor Functors On Representations Of The General Linear Supergroup Thorsten Heidersdorf instant download after payment.

Publisher: American Mathematical Soc.

File Extension: PDF

File size: 1.26 MB

Pages: 106

Author: Thorsten Heidersdorf, Rainer Weissauer

ISBN: 9781470447144, 1470447142

Language: English

Year: 2021

Product desciption

Cohomological Tensor Functors On Representations Of The General Linear Supergroup Thorsten Heidersdorf by Thorsten Heidersdorf, Rainer Weissauer 9781470447144, 1470447142 instant download after payment.

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.