GEOMETRIC INVARIANT THEORY AND GENERALIZED EIGENVALUE PROBLEM II

被引：12
|
作者：
Ressayre, Nicolas [1 ]
机构：
[1] Univ Montpellier 2, Dept Math, F-34095 Montpellier 5, France
来源：
ANNALES DE L INSTITUT FOURIER | 2011年 / 61卷 / 04期
关键词：
Branching rule; generalized Horn problem; Littlewood-Richardson cone; GIT-cone;
D O I：
10.5802/aif.2647
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Let G be a connected reductive subgroup of a complex connected reductive group (G) over cap. Fix maximal tori and Borel subgroups of G and (G) over cap. Consider the cone LR degrees(G, (G) over cap) generated by the pairs (nu, (nu) over cap) of strictly dominant characters such that V-nu* is a submodule of V-(nu) over cap. We obtain a bijective parametrization of the faces of LR degrees(G, (G) over cap )as a consequence of general results on GIT-cones. We show how to read the inclusion of faces off this parametrization.
引用
收藏
页码：1467 / 1491
页数：25
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