The restriction of minuscule representations to parabolic subgroups
The restriction of minuscule representations to parabolic subgroups
Let $G$ be a universal Chevalley group defined over an algebraically closed field $F$ of arbitrary characteristic. In this paper we investigate the restrictions to parabolic subgroups of $G$ of the irreducible $FG$-modules corresponding to minuscule highest weights via a combinatorial scheme of “chamber systems” indexed over certain cosets in the Weyl group.
Minuscule modules, chamber systems
59-79
Parker, Chris
c403bb72-f89c-403c-967c-75639ce03c53
Roehrle, Gerhard
85f9d4eb-d522-4a95-bde9-300e8e3e7886
July 2003
Parker, Chris
c403bb72-f89c-403c-967c-75639ce03c53
Roehrle, Gerhard
85f9d4eb-d522-4a95-bde9-300e8e3e7886
Parker, Chris and Roehrle, Gerhard
(2003)
The restriction of minuscule representations to parabolic subgroups.
Mathematical Proceedings of the Cambridge Philosophical Society, 135 (1), .
(doi:10.1017/S0305004102006576).
Abstract
Let $G$ be a universal Chevalley group defined over an algebraically closed field $F$ of arbitrary characteristic. In this paper we investigate the restrictions to parabolic subgroups of $G$ of the irreducible $FG$-modules corresponding to minuscule highest weights via a combinatorial scheme of “chamber systems” indexed over certain cosets in the Weyl group.
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Submitted date: July 2001
Published date: July 2003
Keywords:
Minuscule modules, chamber systems
Identifiers
Local EPrints ID: 38488
URI: http://eprints.soton.ac.uk/id/eprint/38488
ISSN: 0305-0041
PURE UUID: 2803fbf2-7720-43a5-8d5d-3c1a011d9278
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Date deposited: 12 Jun 2006
Last modified: 15 Mar 2024 08:08
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Author:
Chris Parker
Author:
Gerhard Roehrle
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