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Eigenvalues, invariant factors, highest weights, and Schubert calculus
2000
Bulletin of the American Mathematical Society
Preserved Fulltext
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 GLn(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.
doi:10.1090/s0273-0979-00-00865-x
fatcat:xn3f4xuvqzarnmrkimv6ey4tsm