Local Systems on P1 - S for S a Finite Set

By P. Belkale. Compositio Mathematica, 2001

138 citations recorded by the source corpus.

Subfields: Algebra and Number Theory, Discrete Mathematics and Combinatorics, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/e4a0a08fe3fbb6d731d9bac7942916d6a00f8967

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Algebra and Number Theory

1. Nicolas Ressayre
2. Alexander A. Klyachko
3. W. Crawley‐Boevey
4. Shrawan Kumar
5. P. Belkale
6. Vladimir Petrov Kostov
7. Bernard Leclerc
8. Daisuke Yamakawa

In Discrete Mathematics and Combinatorics

1. Nicolas Ressayre
2. Alexander A. Klyachko
3. W. Crawley‐Boevey
4. Shrawan Kumar
5. P. Belkale
6. Vladimir Petrov Kostov
7. Daisuke Yamakawa
8. Kevin Tucker

In Mathematical Physics

1. Nicolas Ressayre
2. Alexander A. Klyachko
3. W. Crawley‐Boevey
4. Shrawan Kumar
5. P. Belkale
6. H. Nakajima
7. I. Losev
8. Carlos Simpson

Citations in the corpus

• Eigenvalue problem and a new product in cohomology of flag varieties (2004, background): “quantum cohomology of homogenous spaces G/P with an analogous relation to the multiplicative eigenvalue problem ([AW, Bel1 ,Bel4,Bel5,TW]).”
• Eigenvalues of majorized Hermitian matrices and Littlewood–Richardson coefficients (2000, unknown): “R A ] 1 8 Se p”
• Geometric invariant theory and the generalized eigenvalue problem (2007, methodology): “The use of optimal destabilizing subgroup in eigenvalue problems actually originates in [1]; the use of the Kempf-Hesselink stratification to study how Xss(L) depends on L originates in [9].”
• Indecomposable parabolic bundles (2004, background): “Agnihotri and Woodward [1] and Belkale [ 3 ] independently observed that one can in the same way relate semistable parabolic bundles on the projective line with unitary representations of the fundamental group of the punctured projective line.”
• Random walks on symmetric spaces and inequalities for matrix spectra (2000, background): “The Hermitian problem has recently been solved in my paper [16], see [2,9,10,18,24] for further improvements, including Horn’s conjecture.”
• QUANTUM MARGINAL PROBLEM AND REPRESENTATIONS OF THE SYMMETRIC GROUP (2004, background): “Apparently the conjecture should follow from rigidity argument of Belkale [2], who proved it for Hermitian spectral problem, see section 5.”
• Indecomposable parabolic bundles and the existence of matrices in prescribed conjugacy class closures with product equal to the identity (2003, background): “Agnihotri and Woodward [1] and Belkale [3] independently observed that one can in the same way relate semistable parabolic bundles on the projective line with unitary representations of the fundamental group of the punctured projective line.”