A note on the center of the super Yangian $Y_{M|N}(\mathfrak{s})$

Published 19 Jan 2023 in math.QA | (2301.08100v2)

Abstract: Let $Y_{M|N}(\mathfrak{s})$ be the super Yangian associated with an arbitrary fixed $0^{M1^N$-sequence} $\mathfrak{s}$. In the present paper, we give a new formula for the quantum Berezinian by using the parabolic generators, which generalizes the usual expression in terms of RTT generators or Drinfeld generators.

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