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- Title
On a dimension formula for spherical twisted conjugacy classes in semisimple algebraic groups.
- Authors
Lu, Jiang-Hua
- Abstract
Let G be a connected semisimple algebraic group over an algebraically closed field of characteristic zero, and let θ be an automorphism of G. We give a characterization of spherical θ-twisted conjugacy classes in G by a formula for their dimensions in terms of certain elements in the Weyl group of G, generalizing a result of N. Cantarini, G. Carnovale, and M. Costantini when θ is the identity automorphism. For G simple and θ an outer automorphism of G, we also classify the Weyl group elements that appear in the dimension formula.
- Subjects
ALGEBRA; GROUP theory; AUTOMORPHISMS; WEYL groups; MATHEMATICAL formulas
- Publication
Mathematische Zeitschrift, 2011, Vol 269, Issue 3/4, p1181
- ISSN
0025-5874
- Publication type
Article
- DOI
10.1007/s00209-010-0776-4