Eigenvalues, invariant factors, highest weights, and Schubert calculus
William Fulton
Abstract
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.
Create a lesson
Related papers
The Tate Conjecture for Ordinary Calabi-Yau Threefolds
Lukas Brantner
Weighted, GIT and Néron--Tate heights on genus-two moduli and Jacobians
Sajad Salami
Monodromy of Tate-Linear varieties
Livia Grammatica
On the Cohomology Classes of Certain Eisenstein-Kronecker Forms
Zhixuan Sheng, Jie Zhou
Campana strong approximation on generalised Markoff surfaces
Dasheng Wei
Quillen's local parameter conjecture in dimension four
Yunpeng Li