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math.RT2003
Induction Functor in Non-commutative Equivariant Cohomology and Dirac Cohomology
Shrawan Kumar
The aim of this paper is to put some recent results of Huang-Pandzic (conjectured by Vogan) and Kostant on Dirac cohomology in a broader perspective.This is achieved by introducing…
math.AG2003
Equivariant analogue of Grothendieck's theorem for vector bundles on
Shrawan Kumar
We prove an equivariant analogue of Grothendieck's theorem for vector bundles on the one dimensional projective space over complex numbers.
math.SG2003
The generalized triangle inequalities for rank 3 symmetric spaces of noncompact type
Shrawan Kumar, Bernhard Leeb, John J. Millson
We compute the generalized triangle inequalities explicitly for all rank 3 symmetric spaces. We find that for Sp(6) the corresponding polyhedral cone has 102 facets and 51 edges.