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The restriction of minuscule representations to parabolic subgroups

Published online by Cambridge University Press:  26 June 2003

CHRISTOPHER PARKER  and
GERHARD RÖHRLE
CHRISTOPHER PARKER
Affiliation:
School of Mathematics and Statistics, University of Birmingham, Edgbaston, Birmingham B15 2TT.
GERHARD RÖHRLE
Affiliation:
School of Mathematics and Statistics, University of Birmingham, Edgbaston, Birmingham B15 2TT.
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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.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 135 , Issue 1 , July 2003 , pp. 59 - 79
Copyright
2003 Cambridge Philosophical Society

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