Counting semisimple orbits of finite Lie algebras by genus

被引：3
|
作者：
Fulman, J [1 ]
机构：
[1] Dartmouth Coll, Dept Math, Hanover, NH 03755 USA
来源：
JOURNAL OF ALGEBRA | 1999年 / 217卷 / 01期
关键词：
D O I：
10.1006/jabr.1998.7805
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The adjoint action of a finite group of Lie type on its Lie algebra is studied. A simple formula is conjectured for the number of semisimple orbits of a given split genus. This conjecture, is proved for type A, and partial results are obtained for other types. For type A a probabilistic interpretation is given in terms of card shuffling. (C) 1999 Academic Press.
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页码：170 / 179
页数：10
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