116 citations · 721 across the 70 of their papers we have counts for
4 papers · 2 filters
Posets, Tensor Products and Schur positivity
Vyjayanthi Chari, Ghislain Fourier, Daisuke Sagaki
Let g be a complex finite-dimensional simple Lie algebra. Given a positive integer k and a dominant weight λ, we define a preorder on the set of k-tuples of dominant weig…
On multigraded generalizations of Kirillov-Reshetikhin modules
Angelo Bianchi, Vyjayanthi Chari, Ghislain Fourier +1
We study the category of Z^l-graded modules with finite-dimensional graded pieces for certain Z+^l-graded Lie algebras. We also consider certain Serre subcategories with finitely m…
Macdonald Polynomials and BGG reciprocity for current algebras
Matthew Bennett, Arkady Berenstein, Vyjayanthi Chari +2
We study the category of graded representations with finite--dimensional graded pieces for the current algebra associated to a simple Lie algebra. This category has many similariti…
Tilting modules for the current algebra of a simple Lie algebra
Matthew Bennett, Vyjayanthi Chari
The category of level zero representations of current and affine Lie algebras shares many of the properties of other well-known categories which appear in Lie theory and in algebra…