On a dimension formula for spherical twisted conjugacy classes in semisimple algebraic groups

被引：0

作者：

Jiang-Hua Lu

机构：

[1] Hong Kong University,Department of Mathematics

来源：

Mathematische Zeitschrift | 2011年 / 269卷

关键词：

Conjugacy Class; Algebraic Group; Weyl Group; Simple Root; Poisson Structure;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

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.

引用

页码：1181 / 1188

页数：7

共 13 条

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[10]

Yakimov M.(undefined)undefined undefined undefined undefined-undefined

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