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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| Dokumenttyp: | Article (Journal) Kapitel/Artikel |
| Sprache: | Englisch |
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June 23, 2021
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Cohomological tensor functors on representations of the general linear supergroup
Year: 2021, Jahrgang: 270, Heft: 1320, Pages: 1-96 |
| Online-Zugang: | Verlag, lizenzpflichtig, Volltext: https://www.ams.org/books/memo/1320/
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| Verfasserangaben: | Thorsten Heidersdorf, Rainer Weissauer |
MARC
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| 520 | |a 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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