The degrees of orbits of the multiplicity-free actions

被引：0
|
作者：
Kato, S
Ochiai, H
机构：
[1] CTC, Chiyoda Ku, Tokyo 1028166, Japan
[2] Tokyo Inst Technol, Dept Math, Tokyo 1528551, Japan
来源：
ASTERISQUE | 2001年 / 273期
关键词：
multiplicity-free action; Hermitian symmetric space; highest weight representation; nilpotent orbit; associated variety; Bernstein degree;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We give a formula for the degrees of orbits of the irreducible representations with multiplicity-free action. In particular, we obtain the Bernstein degree and the associated cycle of the irreducible unitary highest weight modules of the scalar type for arbitrary hermitian Lie algebras.
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页码：139 / 158
页数：20
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