Macdonald Polynomials and BGG reciprocity for current algebras
Representation Theory
2012-07-11 v1 Combinatorics
Abstract
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 similarities with the category of modules for and in this paper, we use the combinatorics of Macdonald polynomials to prove an analogue of the famous BGG duality in the case of .
Cite
@article{arxiv.1207.2446,
title = {Macdonald Polynomials and BGG reciprocity for current algebras},
author = {Matthew Bennett and Arkady Berenstein and Vyjayanthi Chari and Anton Khoroshkin and Sergey Loktev},
journal= {arXiv preprint arXiv:1207.2446},
year = {2012}
}