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

Abstract

Let $Y_{M|N}(\mathfrak{s})$ be the super Yangian associated with an arbitrary fixed $0^M{1}^N$-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.

arXiv commentfinal version, to appear in J. Algebra