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arXiv · 2402.00487

A note on the quantum Berezinian for the double Yangian of the Lie superalgebra $\mathfrak{gl}_{m|n}$

Lucia Bagnoli·Slaven Kožić
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Abstract

In this note, we generalize the notion of quantum Berezinian to the double Yangian ${\rm DY}(\mathfrak{gl}_{m|n})$ of the Lie superalgebra $\mathfrak{gl}_{m|n}$. We show that its coefficients form a family of algebraically independent topological generators of the center of ${\rm DY}(\mathfrak{gl}_{m|n})$.

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Lucia Bagnoli, Slaven Kožić. 2024-02-01. A note on the quantum Berezinian for the double Yangian of the Lie superalgebra $\mathfrak{gl}_{m|n}$. https://doi.org/10.1007/s10468-024-10310-9

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