caa a22 4500 445836539 CHVBK 20180317145331.0 cr unu---uuuuu 170323e20111201xx s 000 0 eng 10.1007/s00209-010-0776-4 doi (NATIONALLICENCE)springer-10.1007/s00209-010-0776-4 Lu Jiang-Hua Department of Mathematics, Hong Kong University, Pokfulam Rd., Hong Kong, Hong Kong aut On a dimension formula for spherical twisted conjugacy classes in semisimple algebraic groups [Elektronische Daten] [Jiang-Hua Lu] 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. The Author(s), 2010 Mathematische Zeitschrift Springer-Verlag 269/3-4(2011-12-01), 1181-1188 0025-5874 269:3-4<1181 2011 269 209 https://doi.org/10.1007/s00209-010-0776-4 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s00209-010-0776-4 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Lu Jiang-Hua Department of Mathematics, Hong Kong University, Pokfulam Rd., Hong Kong, Hong Kong aut NATIONALLICENCE 773 0- Mathematische Zeitschrift Springer-Verlag 269/3-4(2011-12-01), 1181-1188 0025-5874 269:3-4<1181 2011 269 209 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer