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The tale of Kostant's problem

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arxiv 2308.02839 v1 pith:CFPEATGK submitted 2023-08-05 math.RT

Volodymyr Mazorchuk This is my paper · ORCID
classification math.RT
keywords algebraproblemfinitekostantadjointlyaskscomplexdimensional
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This is a survey paper presenting the history and both old and new results related to Kostant's problem. This problem asks for which modules over a semi-simple finite dimensional complex Lie algebra, the universal enveloping algebra surjects onto the algebra of adjointly locally finite linear endomorphism.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Almost all permutations and involutions are Kostant negative

    math.RT 2024-11 reject novelty 7.0 of 10

    As n grows, almost all permutations, and almost all involutions, are Kostant negative in the principal block of category O for sl_n(C).

  2. Combinatorics of infinite rank module categories over finite dimensional $\mathfrak{sl}_3$-modules in Lie-algebraic context

    math.RT 2024-12 conditional novelty 6.0 of 10

    The combinatorial shadow of any sl3-generated transitive module category is one of eight infinite graphs.

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