On Uq (sl2)-actions on the Quantum Plane

Acta Polytechnica

S. Sinel’shchikov¹  S. Duplij¹ 

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

DOI  :  

来源: Czech Technical University in Prague, Faculty of M

【 摘 要 】

To give the complete list of U q(sl 2 )-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