Two-sided BGG resolutions of admissible representations
Quantum Algebra
2016-08-11 v3 Representation Theory
Abstract
We prove the conjecture of Frenkel, Kac and Wakimoto on the existence of two-sided BGG resolutions of G-integrable admissible representations of affine Kac-Moody algebras at fractional levels. As an application we establish the semi-infintie analogue of the generalized Borel-Weil theorem for mimimal parabolic subalgebras which enables an inductive study of admissible representations.
Keywords
Cite
@article{arxiv.1207.4276,
title = {Two-sided BGG resolutions of admissible representations},
author = {Tomoyuki Arakawa},
journal= {arXiv preprint arXiv:1207.4276},
year = {2016}
}
Comments
revised, to appear in Representation Theory