V. Stukopin

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20232026

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math.QA2026

PBW theorem for affine super Yangian

Vasiliy Volkov, Vladimir Stukopin

We prove a Poincaré--Birkhoff--Witt theorem for the distinguished affine super Yangian $Y = Y_{1/2, 1/2} (sl (m ∣ n))$ , where $m, n \geq 2$ and $m \neq = n$ . With respect t…

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.