On the restricted Verma modules at the critical level
Representation Theory
2015-08-27 v3
Abstract
We study the restricted Verma modules of an affine Kac-Moody algebra at the critical level with special emphasis on their Jordan-H"older multiplicities. The Feigin-Frenkel conjecture gives a formula for these multiplicities that involves the periodic Kazhdan-Lusztig polynomials. We prove this conjecture for all subgeneric blocks and for the case of anti-dominant simple subquotients.
Cite
@article{arxiv.0812.3334,
title = {On the restricted Verma modules at the critical level},
author = {Tomoyuki Arakawa and Peter Fiebig},
journal= {arXiv preprint arXiv:0812.3334},
year = {2015}
}
Comments
30 pages, revised version