Central elements and evaluation map for the quantum queer superalgebras

Ming Liu; Alexander Molev; Jian Zhang

Central elements and evaluation map for the quantum queer superalgebras

Quantum Algebra 2026-01-13 v2 Representation Theory

Authors: Ming Liu , Alexander Molev , Jian Zhang

Abstract

We consider the $R$ -matrix presentations of the quantum queer superalgebra $U_q(q_n)$ and its affine counterpart $U_q(\widehat q_n)$ . We derive crossing symmetry relations for the $R$ -matrices and use them to construct central elements in both superalgebras. We also produce an epimorphism $ev:U_q(\widehat q_n)\to U_q(q_n)$ identical on the subalgebra isomorphic to $U_q(q_n)$ .

Keywords

quantum group representations quantum groups q-series and q-analogues

Cite

@article{arxiv.2512.06724,
  title  = {Central elements and evaluation map for the quantum queer superalgebras},
  author = {Ming Liu and Alexander Molev and Jian Zhang},
  journal= {arXiv preprint arXiv:2512.06724},
  year   = {2026}
}

Comments

16 pages; reference to an earlier work on central elements added

Central elements and evaluation map for the quantum queer superalgebras

Abstract

Keywords

Cite

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