Cohomological tensor functors on representations of the general linear supergroup
We define and study cohomological tensor functors from the category T-n of finite-dimensional representations of the supergroup Gl(n vertical bar n) into Tn-r for 0 < r <= n. In the case DS : Tn -> Tn-1 we prove a formula DS(L) = circle plus Pi(ni) L-i for the image of an arbitrary irreduci...
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| Main Authors: | , |
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| Format: | Article (Journal) Chapter/Article |
| Language: | English |
| Published: |
June 23, 2021
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| In: |
Cohomological tensor functors on representations of the general linear supergroup
Year: 2021, Volume: 270, Issue: 1320, Pages: 1-96 |
| Online Access: | Verlag, lizenzpflichtig, Volltext: https://www.ams.org/books/memo/1320/
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| Author Notes: | Thorsten Heidersdorf, Rainer Weissauer |
| Summary: | We define and study cohomological tensor functors from the category T-n of finite-dimensional representations of the supergroup Gl(n vertical bar n) into Tn-r for 0 < r <= n. In the case DS : Tn -> Tn-1 we prove a formula DS(L) = circle plus Pi(ni) L-i 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. |
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| Item Description: | Gesehen am 13.08.2021 |
| Physical Description: | Online Resource |
| ISBN: | 9781470465285 |