English

$RLL$-Realization and Its Hopf Superalgebra Structure of $U_{p, q}(\widehat{\mathfrak{gl}(m|n))}$

Quantum Algebra 2024-12-05 v3

Abstract

In this paper, we extend the Reshetikhin-Semenov-Tian-Shansky formulation of quantum affine algebras to the two-parameter quantum affine superalgebra Up,q(gl^(mn))U_{p, q}(\widehat{\mathfrak{gl}}(m|n)) and obtain its Drinfeld realization. We also derive its Hopf algebra structure by providing Drinfeld-type coproduct for the Drinfeld generators.

Keywords

Cite

@article{arxiv.2407.00406,
  title  = {$RLL$-Realization and Its Hopf Superalgebra Structure of $U_{p, q}(\widehat{\mathfrak{gl}(m|n))}$},
  author = {Naihong Hu and Naihuan Jing and Xin Zhong},
  journal= {arXiv preprint arXiv:2407.00406},
  year   = {2024}
}

Comments

20 pages, update