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量子代数Uq(f(K，H))的量子伴随作用(英文)

Quantum Adjoint Action for Quantum Algebra Uq(f(K,H))

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【Author】 HOU Bo1,WANG Zhi Xi2(1.College of Mathematics and Information Science,Hebei Teacher’s University,Hebei 050016,China;2.Department of Mathematics,Capital Normal University,Beijing 100037,China)

【机构】 College of Mathematics and Information Science,Hebei Teacher’s University； Department of Mathematics,Capital Normal University；

【摘要】 The aim of this paper is to study the adjoint action for the quantum algebra Uq(f(K,H)),which is a natural generalization of quantum algebra Uq(sl2) and is regarded as a class of generalized Weyl algebra.The structure theorem of its locally finite subalgebra F(Uq(f(K,H))) is given.更多还原

【Abstract】 The aim of this paper is to study the adjoint action for the quantum algebra Uq(f(K,H)),which is a natural generalization of quantum algebra Uq(sl2) and is regarded as a class of generalized Weyl algebra.The structure theorem of its locally finite subalgebra F(Uq(f(K,H))) is given.更多还原

【关键词】 adjoint action； locally finite subalgebra； highest weight vector；
【Key words】 adjoint action； locally finite subalgebra； highest weight vector；

【基金】 the National Natural Science Foundation of China (No.10871227);the Science Foundation of Hebei Province (No.2008000135)

【文献出处】数学研究与评论 ,Journal of Mathematical Research and Exposition , 编辑部邮箱 ,2009年01期

【分类号】O153
【下载频次】47

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