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- W4287684503 abstract "For a general linear supergroup $G=GL(m|n)$, we consider a natural isomorphism $phi: G to U^-times G_{ev} times U^+$, where $G_{ev}$ is the even subsupergroup of $G$, and $U^-$, $U^+$ are appropriate odd unipotent subsupergroups of $G$. We compute the action of odd superderivations on the images $phi^*(x_{ij})$ of the generators of $K[G]$. We describe a specific ordering of the dominant weights $X(T)^+$ of $GL(m|n)$ for which there exists a Donkin-Koppinen filtration of the coordinate algebra $K[G]$. Let $Gamma$ be a finitely generated ideal $Gamma$ of $X(T)^+$ and $O_{Gamma}(K[G])$ be the largest $Gamma$-subsupermodule of $K[G]$ having simple composition factors of highest weights $lambdain Gamma$. We apply combinatorial techniques, using generalized bideterminants, to determine a basis of $G$-superbimodules appearing in Donkin-Koppinen filtration of $O_{Gamma}(K[G])$." @default.
- W4287684503 created "2022-07-26" @default.
- W4287684503 creator A5087144453 @default.
- W4287684503 date "2020-08-27" @default.
- W4287684503 modified "2023-10-10" @default.
- W4287684503 title "A combinatorial approach to Donkin-Koppinen filtrations of general linear supergroups" @default.
- W4287684503 doi "https://doi.org/10.48550/arxiv.2008.12239" @default.
- W4287684503 hasPublicationYear "2020" @default.
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