@article{Su2025, 
author = {Dong Su and Fengxia Gao and Zhenzhen Gao},
title = {Module algebra structures of nonstandard quantum group        X          q        (      A          1        ) on the quantum plane},
year = {2025},
journal = {Electronic Research Archive},
volume = {33},
number = {6},
pages = {3543-3560},
keywords = {nonstandard quantum group, quantum n-space, Hopf action, module algebra, weight},
url = {https://www.sciopen.com/article/10.3934/era.2025157},
doi = {10.3934/era.2025157},
abstract = {In this paper, for    n  ≥  2 and    n  ≠  3, the module algebra structures of        X          q        (      A          1        ) on the quantum    n-space were discussed, where the quantum    n-space is denoted by        A          q        (  n  ). In particular, a complete list of        X          q        (      A          1        )-module algebra structures on the quantum plane        A          q        (  2  ) was produced and the isomorphism classes of these structures were described.}
}