On Uq (sl2)-actions on the Quantum Plane

Acta Polytechnica

关键词: quantum universal enveloping algebra;    Hopf algebra;    Verma module;    representation;    composition series;    projection;    weight;   

DOI  :  

来源: DOAJ

【 摘 要 】

To give the complete list of U_q (sl₂)-actions of the quantum plane, we first obtain the structure of quantum plane automorphisms. Then we introduce some special symbolic matrices to classify the series of actions using the weights. There are uncountably many isomorphism classes of the symmetries. We give the classical limit of the above actions.

【 授权许可】

Unknown