Eigenvalues, invariant factors, highest weights, and Schubert calculus

被引：284

作者：

Fulton, W ^{[1
]}

机构：

[1] Univ Michigan, Ann Arbor, MI 48109 USA

来源：

BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY | 2000年 / 37卷 / 03期

关键词：

D O I：

10.1090/S0273-0979-00-00865-X

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We describe recent work of Klyachko, Totaro, Knutson, and Tao that characterizes eigenvalues of sums of Hermitian matrices and decomposition of tensor products of representations of GL(n)(C). We explain related applications to invariant factors of products of matrices, intersections in Grassmann varieties, and singular values of sums and products of arbitrary matrices.

引用

页码：209 / 249

页数：41

共 67 条

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[2] EXTREME PROPERTIES OF EIGENVALUES OF A HERMITIAN TRANSFORMATION AND SINGULAR VALUES OF THE SUM AND PRODUCT OF LINEAR TRANSFORMATIONS [J].