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

作　　者：HOU Bo WANG Zhi Xi 

机构地区：[1]College of Mathematics and Information Science, Hebei Teacher's University, Hebei 050016, China [2]Department of Mathematics, Capital Normal University, Beijing 100037, China

出　　处：《Journal of Mathematical Research and Exposition》2009年第1期1-8,共8页数学研究与评论（英文版）

基　　金：Foundation item： the National Natural Science Foundation of China （No. 10871227）; the Science Foundation of Hebei Province （No. 2008000135）.

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.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.

关 键 词：Adjoint action Locally finite subalgebra Highest weight vector 

分 类 号：O153[理学—数学]