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

页码：1467 / 1491

页数：25

共 50 条

[1] Geometric invariant theory and the generalized eigenvalue problem
Ressayre, N.
[J]. INVENTIONES MATHEMATICAE, 2010, 180 (02) : 389 - 441
[2] Geometric invariant theory and the generalized eigenvalue problem
N. Ressayre
[J]. Inventiones mathematicae, 2010, 180 : 389 - 441
[3] Analyzing facial expressions with fuzzy quantification theory II: indefinite generalized eigenvalue problem
Luis A. Diago
Tetsuko Kitaoka
Ichiro Hagiwara
Sayuri Ishiguro
[J]. Japan Journal of Industrial and Applied Mathematics, 2011, 28 : 153 - 170
[4] Analyzing facial expressions with fuzzy quantification theory II: indefinite generalized eigenvalue problem
Diago, Luis A.
Kitaoka, Tetsuko
Hagiwara, Ichiro
Ishiguro, Sayuri
[J]. JAPAN JOURNAL OF INDUSTRIAL AND APPLIED MATHEMATICS, 2011, 28 (01) : 153 - 170
[5] Generalized statement of the eigenvalue problem in the relativistic theory of atoms
Sherstyuk, AI
[J]. OPTICS AND SPECTROSCOPY, 1999, 87 (05) : 692 - 695
[6] PERTURBATION-THEORY FOR DEFINITE GENERALIZED EIGENVALUE PROBLEM
STEWART, GW
[J]. NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY, 1976, 23 (07): : A683 - A683
[7] GENERALIZED EIGENVALUE PROBLEM
ZAKRAJSEK, E
[J]. COMPUTER JOURNAL, 1977, 20 (01): : 86 - 91
[8] GENERALIZED EIGENVALUE PROBLEM
ZAKRAJSEK, E
[J]. JOURNAL OF THE INSTITUTE OF MATHEMATICS AND ITS APPLICATIONS, 1976, 18 (02): : 155 - 157
[9] DESTRUCTION OF INVARIANT TORI AS AN EIGENVALUE PROBLEM
BOHR, T
[J]. PHYSICAL REVIEW LETTERS, 1985, 54 (16) : 1737 - 1741
[10] BALANCING THE GENERALIZED EIGENVALUE PROBLEM
WARD, RC
[J]. SIAM JOURNAL ON SCIENTIFIC AND STATISTICAL COMPUTING, 1981, 2 (02): : 141 - 152

← 1 2 3 4 5 →