55 citations · 63 across the 8 of their papers we have counts for
8 papers
Character formulae and a realization of tilting modules for
Matthew Bennett, Vyjayanthi Chari
In this paper we study the category of graded modules for the current algebra associated to . The category enjoys many nice properties, including a tilting theory…
Tilting Modules in Truncated Categories
Matthew Bennett, Angelo Bianchi
We begin the study of a tilting theory in certain truncated categories of modules for the current Lie algebra associated to a finite-dimensional complex simple Lie…
BGG reciprocity for current algebras
Vyjayanthi Chari, Bogdan Ion
It was conjectured by Bennett, Chari, and Manning that a BGG-type reciprocity holds for the category of graded representations with finite-dimensional graded components for the cur…
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…
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…