V. Mazorchuk

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20242026

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math.RT2024

Combinatorics of infinite rank module categories over finite dimensional $sl_{3}$ -modules in Lie-algebraic context

Volodymyr Mazorchuk, Xiaoyu Zhu

We determine the combinatorics of transitive module categories over the monoidal category of finite dimensional $sl_{3}$ -modules which arise when acting by the latter mono…

math.RT2024

Almost all permutations and involutions are Kostant negative

Samuel Creedon, Volodymyr Mazorchuk

We prove that, when $n$ goes to infinity, Kostant's problem has negative answer for almost all simple highest weight modules in the principal block of the BGG category $\mathcal{O}…

math.RT2024

Infinite rank module categories over finite dimensional $sl_{2}$ -modules in Lie-algebraic context

Volodymyr Mazorchuk, Xiaoyu Zhu

We study locally finitary realizations of simple transitive module categories of infinite rank over the monoidal category $C$ of finite dimensional modules for the comple…

Combinatorics of infinite rank module categories over finite dimensional sl3​-modules in Lie-algebraic context

Almost all permutations and involutions are Kostant negative

Infinite rank module categories over finite dimensional sl2​-modules in Lie-algebraic context

Combinatorics of infinite rank module categories over finite dimensional $sl_{3}$ -modules in Lie-algebraic context

Infinite rank module categories over finite dimensional $sl_{2}$ -modules in Lie-algebraic context