Module Algebra Structures of Non-Standard Quantum Group Xq(A1) on C[x,y,z]

  1. Dong Su
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Abstract

In this paper, we investigate the module algebra structures of Xq(A1) on the quantum polynomial algebra Cq[x,y,z]. The automorphism group of Cq[x,y,z] is denoted by Aut(Cq[x,y,z]), and we give a complete classification of Xq(A1)-module algebra structures on Cq[x,y,z], where K1,K2∈Aut(Cq[x,y,z]).

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  1. Version published to 10.3390/math13142227
  2. Version published to 10.20944/preprints202504.2576.v1