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arXiv · 2301.07090

Kostant's problem for parabolic Verma modules

Volodymyr Mazorchuk·Shraddha Srivastava
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Abstract

We give a complete combinatorial classification of those parabolic Verma modules in the principal block of the parabolic category $\mathcal{O}$ associated to a minimal or a maximal parabolic subalgebra of the special linear Lie algebra for which the answer to Kostant's problem is positive.

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Volodymyr Mazorchuk, Shraddha Srivastava. 2023-01-17. Kostant's problem for parabolic Verma modules. https://arxiv.org/abs/2301.07090

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