Spherical conjugacy classes and the Bruhat decomposition
Copyright policy )Spherical conjugacy classes and the Bruhat decomposition
Let G be a connected, reductive algebraic group over an algebraically closed field of zero or good and odd characteristic. We characterize spherical conjugacy classes in G as those intersecting only Bruhat cells in G corresponding to involutions in the Weyl group of G .
- University of Padua Italy
Homogeneous spaces and generalizations, Bruhat decompositions, Group Theory (math.GR), Linear algebraic groups over arbitrary fields, spherical conjugacy classes, connected reductive algebraic groups, Reflection and Coxeter groups (group-theoretic aspects), FOS: Mathematics, Representation Theory (math.RT), spherical homogeneous spaces, Mathematics - Group Theory, Bruhat decomposition; spherical homogeneous space; conjugacy class, Mathematics - Representation Theory, Conjugacy classes for groups
Homogeneous spaces and generalizations, Bruhat decompositions, Group Theory (math.GR), Linear algebraic groups over arbitrary fields, spherical conjugacy classes, connected reductive algebraic groups, Reflection and Coxeter groups (group-theoretic aspects), FOS: Mathematics, Representation Theory (math.RT), spherical homogeneous spaces, Mathematics - Group Theory, Bruhat decomposition; spherical homogeneous space; conjugacy class, Mathematics - Representation Theory, Conjugacy classes for groups
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