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Transactions of the American Mathematical Society
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Double coset density in classical algebraic groups

Author(s): Jonathan Brundan
Journal: Trans. Amer. Math. Soc. 352 (2000), 1405-1436.
MSC (2000): Primary 20G15
Posted: October 21, 1999
MathSciNet review: 1751310
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Abstract | References | Similar articles | Additional information

Abstract: We classify all pairs of reductive maximal connected subgroups of a classical algebraic group $G$ that have a dense double coset in $G$. Using this, we show that for an arbitrary pair $(H, K)$ of reductive subgroups of a reductive group $G$ satisfying a certain mild technical condition, there is a dense $H, K$-double coset in $G$ precisely when $G = HK$ is a factorization.

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Additional Information:

Jonathan Brundan
Affiliation: Department of Mathematics, University of Oregon, Eugene, Oregon 97403-1222
Email: brundan@darkwing.uoregon.edu

DOI: 10.1090/S0002-9947-99-02258-8
PII: S 0002-9947(99)02258-8
Received by editor(s): February 12, 1997
Received by editor(s) in revised form: September 17, 1997
Posted: October 21, 1999
Copyright of article: Copyright 1999, American Mathematical Society




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