English

Module algebra structures of nonstandard quantum group $X_{q}(A_{1})$ on $\C_{q}[x,y,z]$

Quantum Algebra 2025-04-29 v1

Abstract

In this paper, the module algebra structures of Xq(A1)X_{q}(A_{1}) on quantum polynomial algebra \Cq[x,y,z]\C_{q}[x,y,z] are investigated, and a complete classification of Xq(A1)X_{q}(A_{1})-module algebra structures on \Cq[x,y,z]\C_{q}[x,y,z] is given

Keywords

Cite

@article{arxiv.2504.19415,
  title  = {Module algebra structures of nonstandard quantum group $X_{q}(A_{1})$ on $\C_{q}[x,y,z]$},
  author = {Dong Su},
  journal= {arXiv preprint arXiv:2504.19415},
  year   = {2025}
}