Spherical Varieties

Michel Brion
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Michel Brion: Ecole Normale Supérieure

A chapter in Proceedings of the International Congress of Mathematicians, 1995, pp 753-760 from Springer

Abstract: Abstract Consider a connected reductive algebraic groupG over an algebraically closed field k, a Borel subgroup B of G, and a closed subgroupH ⊂G. The homogeneous space G/H is spherical if B acts on it with an open orbit. Examples include flag varieties (H is parabolic in G); more generally, G/H is spherical whenever H contains a maximal unipotent subgroup of G. Another class of examples consists in symmetric spaces; here H is the fixed point set of an involutive automorphism of G. More exotic examples areG2/SL3 and the quotient of SL2 ×SL2 ×SL2 by its diagonal.

Date: 1995
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DOI: 10.1007/978-3-0348-9078-6_68

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