Recursive properties of branching and BGG resolution
arXiv:1102.1702 · doi:10.1007/s11232-011-0132-9
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.
15 pages, 2 figures, submitted to Theoretical and Mathematical Physics
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