INVARIANT DIFFERENTIAL OPERATORS ON A CLASS OF MULTIPLICITY-FREE SPACES

被引：1

作者：

Rubenthaler, Hubert ^{[1
,2
]}

机构：

[1] Univ Strasbourg, Inst Rech Math Avancee, F-67084 Strasbourg, France

[2] CNRS, F-67084 Strasbourg, France

来源：

PACIFIC JOURNAL OF MATHEMATICS | 2014年 / 270卷 / 02期

关键词：

multiplicity-free space; invariant differential operator; Smith algebra; CAPELLI IDENTITY; REPRESENTATIONS; CLASSIFICATION;

D O I：

10.2140/pjm.2014.270.473

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

If (G, V) is a multiplicity-free space with a one-dimensional quotient, we give generators and relations for the noncommutative algebra D(V)(G') of invariant differential operators under the semisimple part G' of the reductive group G. More precisely we show that D(V)(G') is the quotient of a Smith algebra by a completely described two-sided ideal.

引用

页码：473 / 510

页数：38

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