English

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

Quantum Algebra 2023-07-11 v2

Abstract

Let YMN(s)Y_{M|N}(\mathfrak{s}) be the super Yangian associated with an arbitrary fixed 0M1N0^M1^N-sequence s\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.

Keywords

Cite

@article{arxiv.2301.08100,
  title  = {A note on the center of the super Yangian $Y_{M|N}(\mathfrak{s})$},
  author = {Hao Chang and Hongmei Hu},
  journal= {arXiv preprint arXiv:2301.08100},
  year   = {2023}
}

Comments

final version, to appear in J. Algebra