Cohomological Tensor Functors on Representations of the General Linear Supergroup
Author | : Thorsten Heidersdorf |
Publisher | : American Mathematical Soc. |
Total Pages | : 106 |
Release | : 2021-07-21 |
ISBN-10 | : 9781470447144 |
ISBN-13 | : 1470447142 |
Rating | : 4/5 (142 Downloads) |
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.