A CLASSIFICATION OF CERTAIN FINITE DOUBLE COSET COLLECTIONS IN THE CLASSICAL GROUPS
نویسندگان
چکیده
منابع مشابه
A Classification of Certain Finite Double Coset Collections in the Classical Groups
Let G be a classical algebraic group, X a maximal rank reductive subgroup and P a parabolic subgroup. This paper classifies when X\G/P is finite. Finiteness is proven using geometric arguments about the action of X on subspaces of the natural module for G. Infiniteness is proven using a dimension criterion which involves root systems. 1 Statement of results Let G be a classical algebraic group ...
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ژورنال
عنوان ژورنال: Bulletin of the London Mathematical Society
سال: 2004
ISSN: 0024-6093,1469-2120
DOI: 10.1112/s0024609304003546