%0 Journal Article
%T Recursive properties of branching and BGG resolution
%A Vladimir Lyakhovsky
%A Anton Nazarov
%J Mathematics
%D 2011
%I arXiv
%R 10.1007/s11232-011-0132-9
%X 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.
%U http://arxiv.org/abs/1102.1702v1