116 citations · 721 across the 70 of their papers we have counts for
3 papers · 2 filters
BGG reciprocity for current algebras
Matthew Bennett, Vyjayanthi Chari, Nathan Manning
We study the category $\cal I_{\gr}$ of graded representations with finite--dimensional graded pieces for the current algebra $\lie g\otimes\bc[t]$ where $\lie g$ is a simple Lie a…
Faces of polytopes and Koszul algebras
Vyjayanthi Chari, Apoorva Khare, Tim Ridenour
Let $\g$ be a reductive Lie algebra and a $\g$-semisimple module. In this article, we study the category $\G$ of graded finite-dimensional representations of $\g \ltimes V$. We…
An application of global Weyl modules of $\lie{sl}_{n+1}[t]$ to invariant theory
Vyjayanthi Chari, Sergey Loktev
We identify $\lie{sl}_{n+1}$--isotypical components of global Weyl modules with natural subspaces in a polynomial ring, and then apply the representation theory of current algebras…