Reductive group actions on affine varieties and their doubling

被引：5

作者：

Panyushev, DI

机构：

来源：

ANNALES DE L INSTITUT FOURIER | 1995年 / 45卷 / 04期

关键词：

reductive groups; group actions; algebra of invariants; spherical variety;

D O I：

10.5802/aif.1479

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study G-actions of the form (G : X x X*), where X* is the dual (to X) G-variety. These actions are called the doubled ones. A geometric interpretation of the complexity of the action (G : X) is given. It is shown that the doubled actions have a number of nice properties, if X is spherical or of complexity one.

引用

页码：929 / &

页数：23

共 20 条

[1] INVARIANTS OF A MAXIMAL UNIPOTENT SUBGROUP OF A SEMISIMPLE GROUP [J].