Volodymyr Mazorchuk

collaborators

3 papers

math.RT2026

Simple gradable $C [h]$ -torsion free $sl_{2}$ -modules

Volodymyr Mazorchuk, Shuoyang Xu

We give an explicit classification as well as an explicit construction of simple $sl_{2}$ -modules that are torsion-free of finite rank with respect to the action of the Ca…

math.RT2026

Kostant's problem for permutations of shape $(n - 2, 1, 1)$ and $(n - 3, 2, 1)$

Samuel Creedon, Volodymyr Mazorchuk

For a permutation $z$ in the symmetric group $S_{n}$ , denote by $L_{z}$ the corresponding simple highest weight module in the principal block of the BGG category $\mathcal…

math.RT2025

Semi-simple partition algebras as centralizers of representations for rook monoids

Volodymyr Mazorchuk, Shraddha Srivastava

Let $P_{k} (I^´)$ , where $k$ is a positive integer and $I^´$ some complex parameter, be the classical partition algebra over the complex numbers. In the case when $I^´ = n$ , it i…

Simple gradable C[h]-torsion free sl2​-modules

Kostant's problem for permutations of shape (n−2,1,1) and (n−3,2,1)

Semi-simple partition algebras as centralizers of representations for rook monoids

Simple gradable $C [h]$ -torsion free $sl_{2}$ -modules

Kostant's problem for permutations of shape $(n - 2, 1, 1)$ and $(n - 3, 2, 1)$