Recursive properties of branching and BGG resolution
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- Lyakhovsky, V.D. & Nazarov, A.A. Theor Math Phys (2011) 169: 1551. doi:10.1007/s11232-011-0132-9
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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.