THE ADJOINT REPRESENTATION OF QUANTUMALGEBRA U_q(s1(2))

C. BURDiK; O. NAVRA.TIL; S. POSTA

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THE ADJOINT REPRESENTATION OF QUANTUMALGEBRA U_q(s1(2))

机译：量子代数的伴随表示 U_q（S1（2））

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Starting from any representation of the Lie algebra g on the finite dimensional vector space V we canconstruct the representation on the space Aut(V). These representations are of the type of ad. That is oneof the reasons, why it is important to study the adjoint representation of the Lie algebra g on the universalenveloping algebra U(g). A similar situation is for the quantum groups U_q(g).In this paper, we study theadjoint representation for the simplest quantum algebra U_q(sl(2)) in the case thatqis not a root of unity.

机译：从有限维向量空间 V 上的李代数 g 的任何表示开始，我们可以构造空间 Aut（V）上的表示。这些表示形式属于广告类型。这就是为什么研究李代数 g 在通用包络代数 U（g）上的伴随表示很重要的原因之一。量子群U_q（g）也有类似的情况。在本文中，我们研究了最简单的量子代数 U_q（sl（2））的 theadjoint 表示，在 qis 不是统一根的情况下.

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来源
《Journal of nonlinear mathematical physics》 |2009年第1期|63-75|共13页
作者
C. BURDiK; O. NAVRA.TIL; S. POSTA;
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作者单位

Department of Mathematics, Czech Technical UniversityFaculty of Nuclear Sciences and Physical Engineering, Czech Republic;

Department of Mathematics, Czech Technical UniversityFaculty of Transportation Sciences, Czech Republic;

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正文语种英语
中图分类理论物理学;
关键词
Quantum algebra; enveloping algebra; adjoint representation;

机译：量子代数;包络代数;伴随代表;

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THE ADJOINT REPRESENTATION OF QUANTUMALGEBRA U_q(s1(2))

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