| Quantum Adjoint Action for Quantum Algebra ${\cal U}_q(f(K,H))$ |
| Received:December 25, 2006 Revised:November 22, 2007 |
| Key Words:
adjoint action locally finite subalgebra highest weight vector.
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| Fund Project:the National Natural Science Foundation of China (No.10871227); the Science Foundation of Hebei Province (No.2008000135). |
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| Abstract: |
| The aim of this paper is to study the adjoint action for the quantum algebra ${\cal U}_q(f(K,H))$, which is a natural generalization of quantum algebra ${\cal U}_q({\rm sl}_2)$ and is regarded as a class of generalized Weyl algebra. The structure theorem of its locally finite subalgebra ${\cal F}({\cal U}_q(f(K,H)))$ is given. |
| Citation: |
| DOI:10.3770/j.issn:1000-341X.2009.01.001 |
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