Main Cohomological Tensor Functors on Representations of the General Linear Supergroup
Cohomological Tensor Functors on Representations of the General Linear Supergroup cover

Cohomological Tensor Functors on Representations of the General Linear Supergroup

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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.
Request Code : ZLIBIO4204705
Categories:
Year:
2021
Publisher:
American Mathematical Soc.
Language:
English
Pages:
106
ISBN 10:
1470447142
ISBN 13:
9781470447144
ISBN:
9781470447144,1470447142
Series:
Memoirs of the American Mathematical Society 1320

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