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arXiv · 1102.1702

Recursive properties of branching and BGG resolution

Vladimir Lyakhovsky·Anton Nazarov
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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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Vladimir Lyakhovsky, Anton Nazarov. 2011-02-08. Recursive properties of branching and BGG resolution. https://doi.org/10.1007/s11232-011-0132-9

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