BGG reciprocity for current algebras
Representation Theory
2015-07-29 v2 Combinatorics
Quantum Algebra
Abstract
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 current algebra associated to a simple Lie algebra. We associate a current algebra to any indecomposable affine Lie algebra and show that, in this generality, the BGG reciprocity is true for the corresponding category of representations.
Cite
@article{arxiv.1307.1440,
title = {BGG reciprocity for current algebras},
author = {Vyjayanthi Chari and Bogdan Ion},
journal= {arXiv preprint arXiv:1307.1440},
year = {2015}
}
Comments
23 pg, corrections to Lemma 2.14