V. Stukopin

activity

20232026

collaborators

4 papers

math.QA2026

R-matrix via Hasse diagrams

Nikita Kryazhevskikh, Andrey Mudrov, Vladimir Stukopin

We calculate the R-matrix for the exceptional Lie superalgebra $d (2, 1; κ)$ in the smallest representation of its quantum supergroup, using a method of Hasse diagrams.

math.AG2026

Schubert varieties for the super affine Grassmannian of $G L_{n ∣ m}$

Vladimir Stukopin, Sofia Gureva

We study Schubert varieties of the affine Grassmannian for the general linear supergroup $G L_{n ∣ m}$ . An explicit computational study is conducted in low-dimensional cases, namely f…

math.QA2025

Affine super Yangian and Weyl groupoid(extended)

Vasiliy Volkov, Vladimir Stukopin

We study affine super Yangians of type $sl (m ∣ n)$ over $C [ℏ]$ for arbitrary cyclic parity sequences, with $m, n \geq 2$ and $m \neq = n$ . We prove the equ…

math.QA2023

Affine Super Yangian and Weyl groupoid

Vladimir Stukopin, Vasiliy Volkov

We define affine Super Yangian $Y_{ℏ} (s l^(m ∣ n), Π)$ for affine special linear superalgebra $s l^(m ∣ n)$ and arbitrary system of simple roots $Π$ in terms of minimalist…

R-matrix via Hasse diagrams

Schubert varieties for the super affine Grassmannian of GLn∣m​

Affine super Yangian and Weyl groupoid(extended)

Affine Super Yangian and Weyl groupoid

Schubert varieties for the super affine Grassmannian of $G L_{n ∣ m}$