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DOUBLE COSET DENSITY IN EXCEPTIONAL ALGEBRAIC GROUPS

Published online by Cambridge University Press:  01 August 1998

JONATHAN BRUNDAN
JONATHAN BRUNDAN
Affiliation:
Department of Mathematics, 1222 University of Oregon, Eugene, OR 97403, USA. E-mail: brundan@darkwing.uoregon.edu
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Abstract

Let G be a simple algebraic group of exceptional type, defined over an algebraically closed field K of characteristic p[ges ]0. In this paper, we classify all pairs (X, Y) of reductive subgroups of G which have a dense (X, Y)-double coset in G. In fact, we show that there is a dense (X, Y)-double coset in G precisely when G=XY is a factorisation. The possible factorisations that can occur have recently been determined in [11, Theorem A].

We now state our main result.

Type
Notes and Papers
Information
Journal of the London Mathematical Society , Volume 58 , Issue 1 , August 1998 , pp. 63 - 83
Copyright
The London Mathematical Society 1998

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