12 citations · 17 across the 10 of their papers we have counts for
10 papers
Momentum graphs, Chinese remainder theorem and the surjectivity of the restriction map
James B. Carrell, Kiumars Kaveh
We consider a Chinese remainder theorem for (labeled) graphs. For a GKM -variety and an invariant subvariety, we use this to give a condition for surjectivity of the res…
Torus actions, localization and induced representations on cohomology
James B Carrell
This note is motivated by the problem of understanding Springer's remarkable action of the Weyl group of a semi-simple complex linear algebraic group , with maximal…
Springer's Weyl group representation via localization
Jim Carrell, Kiumars Kaveh
Let denote a reductive algebraic group over and a nilpotent element of its Lie algebra . The Springer variety is the closed subva…
Betti numbers of smooth Schubert varieties and the remarkable formula of Kostant,Macdonald,Shapiro and Steinberg
Ersan Akyildiz, James B. Carrell
The purpose of this note is to give a refinement of the product formula proved in [1] for the Poincare polynomial of a smooth Schubert variety in the flag variety of an algebraic g…
B-sub-modules of Lie(G)/Lie(B) and Smooth Schubert Varieties in G/B
James B. Carrell
Let G be a complex semi-simple linear algebraic group without G_2 factors, B a Borel subgroup of G and T a maximal torus in B. The flag variety G/B is a projective G-homogeneous va…
On the equivariant cohomology of subvarieties of a B-regular variety
James B. Carrell, Kiumars Kaveh
By a -regular variety, we mean a smooth projective variety over admitting an algebraic action of the upper triangular Borel subgroup such that the unipot…