36 citations · 42 across the 8 of their papers we have counts for
8 papers
Filtration of tensor product of local Weyl modules for
Divya Setia, Shushma Rani, Tanusree Khandai
In this paper, we consider the tensor product of local Weyl modules for whose highest weights are multiples of the first and fundamental weights.…
Demazure Filtrations of Tensor Product Modules and Character Formula
Divya Setia, Tanusree Khandai
We study the structure of the finite-dimensional representations of , the current Lie algebra type of , which are obtained by taking tensor products of spe…
Graded Character Formula for Fusion Products of Irreducible Modules and Littlewood-Richardson Coefficients in Type
Tanusree Khandai, Shushma Rani
We investigate a specific class of CV modules for and establish an exact sequence for these modules. Utilizing dimension arguments, we demonstrate that this modul…
Spectral Characters of a class of Integrable Representations of Toroidal Lie Algebras
Tanusree Khandai
In this paper we study the subcategory of finite-length objects of the category of positive level integrable representations of a toroidal Lie algebra. The main goal is to characte…
Irreducible Integrable Representations of Toroidal Lie Algebras
Tanusree Khandai
The irreducible integrable representations with finite-dimensional weight spaces of toroidal Lie algebras on which the center acts non-trivially were classified by S.Eswara Rao. In…
Local Weyl modules for equivariant map algebras with free abelian group actions
Ghislain Fourier, Tanusree Khandai, Deniz Kus +1
Suppose a finite group acts on a scheme X and a finite-dimensional Lie algebra g. The associated equivariant map algebra is the Lie algebra of equivariant regular maps from X to g.…
Weyl modules for multiloop algebras
Ghislain Fourier, Tanusree Khandai, Deniz Kus
Global and local Weyl modules for the untwisted multiloop Lie algebras were defined by Chari, the first and the second author via homological properties. In this paper we extended…
A categorical approach to Weyl modules
Vyjayanthi Chari, Ghislain Fourier, Tanusree Khandai
Global and local Weyl Modules were introduced via generators and relations in the context of affine Lie algebras in a work by the first author and Pressley and were motivated by re…