Intersection of conjugacy classes with Bruhat cells in Chevalley groups: The cases SLn(K),GLn(K)
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- 作者：Erich W. Ellers ; Nikolai Gordeev
- 刊名：Journal of Pure and Applied Algebra
- 出版年：2007
- 出版时间：June 2007
- 年：2007
- 卷：209
- 期：3
- 页码：703-723
- 全文大小：421 K
文摘
Let G be either a36bba35850cb2e42"" title=""Click to view the MathML source"">SLn(K) or GLn(K) and let C be a conjugacy class of G. We give conditions under which the intersection of a Bruhat cell of G and a conjugacy class C of G is not empty and we show how to make some progress towards an algorithm which under certain conditions produces elements in this intersection. This is a continuation of an earlier investigation [E.W. Ellers, N. Gordeev, Intersection of conjugacy classes with Bruhat cells in Chevalley groups, Pacific J. Math. 214 (2) (2004) 245–261. MR 2004m:20091] and part of a larger program intended to deal with the above intersection problem for all Chevalley groups.