Homomorphisms between generalized Verma modules
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- by Brian D. Boe PDF
- Trans. Amer. Math. Soc. 288 (1985), 791-799 Request permission
Abstract:
Let $\mathfrak {g}$ be a finite-dimensional complex semisimple Lie algebra and $\mathfrak {p}$ a parabolic subalgebra. The first result is a necessary and sufficient condition, in the spirit of the Bernstein-Gelfand-Gelfand theorem on Verma modules, for Lepowsky’s "standard map" between two generalized Verma modules for $\mathfrak {g}$ to be zero. The main result gives a complete description of all homomorphisms between the generalized Verma modules induced from one-dimensional $\mathfrak {p}$-modules, in the "hermitian symmetric" situation.References
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Additional Information
- © Copyright 1985 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 288 (1985), 791-799
- MSC: Primary 17B10
- DOI: https://doi.org/10.1090/S0002-9947-1985-0776404-0
- MathSciNet review: 776404