81 citations · 183 across the 46 of their papers we have counts for
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The multiplicative eigenvalue problem and deformed quantum cohomology
Prakash Belkale, Shrawan Kumar
We construct deformations of the small quantum cohomology rings of homogeneous spaces G/P, and obtain an irredundant set of inequalities determining the multiplicative eigenvalue p…
Hitchin's conjecture for simply-laced Lie algebras implies that for any simple Lie algebra
Nathaniel Bushek, Shrawan Kumar
Let $\g$ be any simple Lie algebra over . Recall that there exists an embedding of into $\g$, called a principal TDS, passing through a principal nilp…
A study of saturated tensor cone for symmetrizable Kac-Moody algebras
Merrick Brown, Shrawan Kumar
Let $\fg$ be a symmetrizable Kac-Moody Lie algebra with the standard Cartan subalgebra $\fh$ and the Weyl group . Let be the set of dominant integral weights. For $λ\in P_…
Additive Eigenvalue Problem (a survey), (With appendix by M. Kapovich)
Shrawan Kumar
The classical Hermitian eigenvalue problem addresses the following question: What are the possible eigenvalues of the sum A+B of two Hermitian matrices A and B, provided we fix the…
Dimension of zero weight space: An algebro-geometric approach
Shrawan Kumar, Dipendra Prasad
Let G be a connected, adjoint, simple algebraic group over the complex numbers with a maximal torus T and a Borel subgroup B containing T. The study of zero weight spaces in irredu…