ENHANCED ADJOINT ACTIONS AND THEIR ORBITS FOR THE GENERAL LINEAR GROUP

被引：0
|
作者：
Nishiyama, Kyo [1 ]
Ohta, Takuya [2 ]
机构：
[1] Aoyama Gakuin Univ, Dept Phys & Math, Sagamihara, Kanagawa, Japan
[2] Tokyo Denki Univ, Dept Math, Adachi Ku, Tokyo, Japan
来源：
PACIFIC JOURNAL OF MATHEMATICS | 2019年 / 298卷 / 01期
关键词：
enhanced nilpotent cone; exotic nilpotent cone; adjoint quotient; classical invariant theory; REPRESENTATIONS; CLOSURES;
D O I：
10.2140/pjm.2019.298.141
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We study an enhanced adjoint action of the general linear group on a product of its Lie algebra and a vector space consisting of several copies of defining representations and its duals. We determine regular semisimple orbits (i.e., closed orbits of maximal dimension) and the structure of enhanced null cone, including its irreducible components and their dimensions.
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页码：141 / 155
页数：15
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