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Subregular nilpotent representations of [sscr ][Iscr ]n and [sscr ][oscr ]2n+1

Published online by Cambridge University Press:  01 March 1999

JENS CARSTEN JANTZEN
JENS CARSTEN JANTZEN
Affiliation:
Matematisk Institut, Aarhus Universitet, Ny Munkegade, DK-8000 Aarhus C, Denmark
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Abstract

Let [gscr ] be one of the Lie algebras [sscr ][Iscr ]n(K) or [sscr ][oscr ]2n+1(K) over an algebraically closed field K of characteristic p>0. Suppose in the first case that n∉Zp and in the second case that p≠2. This assumption implies that [gscr ] is simple. In this paper I study certain irreducible representations of [gscr ].

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 126 , Issue 2 , March 1999 , pp. 223 - 257
Copyright
The Cambridge Philosophical Society 1999

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