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Submodule Structure of Generalized Verma Modules Induced from Generic Gelfand-Zetlin Modules

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Abstract

For complex Lie algebra sl(n, C) we study the submodule structure of generalized Verma modules induced from generic Gelfand-Zetlin modules over some subalgebra of type sl(k, C). We obtain necessary and sufficient conditions for the existence of a submodule generalizing the Bernstein-Gelfand-Gelfand theorem for Verma modules.

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Authors and Affiliations

  1. Deparment of Mechanics and Mathematics, Kiev Taras Shevchrnko University, Volodimirska 64, 252033, Kiev, Ukraine

    V. S. Mazorchuk & S. A. Ovsienko

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  1. V. S. Mazorchuk
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  2. S. A. Ovsienko
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Mazorchuk, V.S., Ovsienko, S.A. Submodule Structure of Generalized Verma Modules Induced from Generic Gelfand-Zetlin Modules. Algebras and Representation Theory 1, 3–26 (1998). https://doi.org/10.1023/A:1009929615175

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