@article{Wang2026, 
author = {Wanxia Wang and Shilin Yang},
title = {Module algebras on truncated quantum planes over small quantum groups},
year = {2026},
journal = {Electronic Research Archive},
volume = {34},
number = {7},
pages = {4968-4998},
keywords = {truncated quantum plane, small quantum group, module algebra},
url = {https://www.sciopen.com/article/10.3934/era.2026220},
doi = {10.3934/era.2026220},
abstract = {Let    q be a    2  n-th primitive root of unity and                      u            q        (                            s          l                    2        )   a small quantum group in the usual way. Under reasonable simplifying assumptions, we provided a complete classification of all                      u            q        (                            s          l                    2        )  -module algebras on the truncated quantum plane              A              n        ,        q              [    x    ,    y    ]  , which was generated by    x,    y subject to the relations:    y  x  =  q  x  y  ,        x    n    =      y    n    =  0.}
}