On U-q (sl(2))-actions on the Quantum Plane

被引：0

作者：

Duplij, S. ^{[1
]}

Sinel'shchikov, S. ^{[2
]}

机构：

[1] Kharkov Natl Univ, Nucl Phys Lab, Theory Grp, 4 Svoboda Sq, UA-61077 Kharkov, Ukraine

[2] BI Verkin Inst Low Temp Phys & Engn, Math Div, UA-61103 Kharkov, Ukraine

来源：

ACTA POLYTECHNICA | 2010年 / 50卷 / 05期

关键词：

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

D O I：

暂无

中图分类号：

T [工业技术];

学科分类号：

08 ;

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.

引用

页码：25 / 29

页数：5

共 50 条

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