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

[11] DESTRUCTION OF INVARIANT TORI AS AN EIGENVALUE PROBLEM
BOHR, T
[J]. PHYSICAL REVIEW LETTERS, 1985, 54 (16) : 1737 - 1741
[12] BALANCING THE GENERALIZED EIGENVALUE PROBLEM
WARD, RC
[J]. SIAM JOURNAL ON SCIENTIFIC AND STATISTICAL COMPUTING, 1981, 2 (02): : 141 - 152
[13] STABLE GENERALIZED EIGENVALUE PROBLEM
CRAWFORD, CR
[J]. SIAM JOURNAL ON NUMERICAL ANALYSIS, 1976, 13 (06) : 854 - 860
[14] THEORY OF DECOMPOSITION AND BULGE-CHASING ALGORITHMS FOR THE GENERALIZED EIGENVALUE PROBLEM
WATKINS, D
ELSNER, L
[J]. SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS, 1994, 15 (03) : 943 - 967
[15] GERSHGORIN THEORY FOR GENERALIZED EIGENVALUE PROBLEM AX=LAMBDA-BX
STEWART, GW
[J]. MATHEMATICS OF COMPUTATION, 1975, 29 (130) : 600 - 606
[16] GEOMETRIC PHASE AND THE GENERALIZED INVARIANT FORMULATION
GAO, XC
XU, JB
QIAN, TZ
[J]. PHYSICAL REVIEW A, 1991, 44 (11): : 7016 - 7021
[17] On the condition numbers of a multiple eigenvalue of a generalized eigenvalue problem
Yuji Nakatsukasa
[J]. Numerische Mathematik, 2012, 121 : 531 - 544
[18] Numerical enclosure for each eigenvalue in generalized eigenvalue problem
Miyajima, Shinya
[J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2012, 236 (09) : 2545 - 2552
[19] GEOMETRIC INTERPRETATIONS OF GENERALIZED HOPF INVARIANT
KOSCHORKE, U
SANDERSON, B
[J]. MATHEMATICA SCANDINAVICA, 1977, 41 (02) : 199 - 217
[20] On the condition numbers of a multiple eigenvalue of a generalized eigenvalue problem
Nakatsukasa, Yuji
[J]. NUMERISCHE MATHEMATIK, 2012, 121 (03) : 531 - 544

← 1 2 3 4 5 →