Recursive properties of branching and BGG resolution |
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Authors: | V. D. Lyakhovsky A. A. Nazarov |
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Affiliation: | 1.St. Petersburg State University,St. Petersburg,Russia |
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Abstract: | Recurrence relations for branching coefficients are based on a certain decomposition of the singular element. We show that this decomposition can be used to construct parabolic Verma modules and to obtain the generalized Weyl-Verma formulas for characters. We also demonstrate that the branching coefficients determine the generalized Bernstein-Gelfand-Gelfand resolution. |
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