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arxiv: 1102.1702 · v1 · pith:JBHKC2AOnew · submitted 2011-02-08 · 🧮 math.RT

Recursive properties of branching and BGG resolution

classification 🧮 math.RT
keywords branchingcoefficientsdecompositiongeneralizedresolutioncharactersconstructdemonstrate
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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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