Recursive properties of branching and BGG resolution
Representation Theory
2015-03-18 v1
Abstract
Recurrent relations for branching coefficients are based on a special type of singular element decomposition. We show that this decomposition can be used to construct the parabolic Verma modules and finally to obtain the generalized Weyl-Verma formulas for characters. We demonstrate how branching coefficients can determine the generalized BGG resolution sequence.
Cite
@article{arxiv.1102.1702,
title = {Recursive properties of branching and BGG resolution},
author = {Vladimir Lyakhovsky and Anton Nazarov},
journal= {arXiv preprint arXiv:1102.1702},
year = {2015}
}
Comments
15 pages, 2 figures, submitted to Theoretical and Mathematical Physics