Abstract
Jonathan Brundan and Alexander Kleshchev recently introduced a new family of presentations for the Yangian Y \((\mathfrak{g}\mathfrak{l}_n )\) of the general linear Lie algebra \(\mathfrak{g}\mathfrak{l}_n\). In this article, we extend some of their ideas to consider the Yangian Y \((\mathfrak{g}\mathfrak{l}_{m|n} )\) of the Lie superalgebra \(\mathfrak{g}\mathfrak{l}_{m|n}\). In particular, we give a new proof of the result by Nazarov that the quantum Berezinian is central.
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References
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Gow, L. On the Yangian Y \((\mathfrak{g}\mathfrak{l}_{m|n} )\) and its quantum Berezinian. Czech J Phys 55, 1415–1420 (2005). https://doi.org/10.1007/s10582-006-0019-4
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DOI: https://doi.org/10.1007/s10582-006-0019-4