[浙江大学博士后研究工作总结量子群对称性系统及完全可积系统的研究]

【浙江大学博士後研究工作总结量子群对称性系统及完全可积系统的研究】.pdf

Report of Post-Ph.D Research Works By LIKANG ZhejiangInstituteofModernPhysics Zhejiang University,Hangzhou,310027 Abstract J.eight This report consists of eighM papers.In the first paperI work out the typeIrepresentationsof H,quantum algebra for the case q being a rootofunity,theserepresentationType I Representations of Quantum Algebra HqFor q-oscillatorsSystem ABSTRACT After giving a brief review of H,and SUquantum algebras and their relationship,Iworkout the typeIrepresentations ofHquantum algebrafor the KEYWORDS 1.q-deforimed algebra.Type Irepresentation.H,algebra and SU, algebras have deep relationship.The two connected by thefollowing transformation[7]:/J± h3where =lnq,-i,α =kπ+,k ∈ Z, and I is the identity operator.It is easy to check the transformation.