Recursive properties of branching and BGG resolution

Published 8 Feb 2011 in math.RT | (1102.1702v1)

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.

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