Eigenvalues, invariant factors, highest weights, and Schubert calculus

Authors
Fulton, W
Citation
W. Fulton, Eigenvalues, invariant factors, highest weights, and Schubert calculus, B AM MATH S, 37(3), 2000, pp. 209-249
Citations number
67
Categorie Soggetti
Mathematics
Journal title
BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY
ISSN journal
02730979 → ACNP
Volume
37
Issue
3
Year of publication
2000
Pages
209 - 249
Database
ISI
SICI code
0273-0979(2000)37:3<209:EIFHWA>2.0.ZU;2-Z
Abstract
We describe recent work of Klyachko, Totaro, Knutson, and Tao that characte rizes eigenvalues of sums of Hermitian matrices and decomposition of tensor products of representations of GL(n)(C). We explain related applications t o invariant factors of products of matrices, intersections in Grassmann var ieties, and singular values of sums and products of arbitrary matrices.