25 Years of Quantum Groups: from Definition to Classification

Acta Polytechnica

A. Stolin¹ 

关键词: Lie bialgebra;    quantum group;    Yang-Baxter equation;    quantization;    classical twist;    quantum twist;    integrable model;   

DOI  :  

来源: Czech Technical University in Prague, Faculty of M

【 摘 要 】

In mathematics and theoretical physics, quantum groups are certain non-commutative, non-cocommutative Hopf algebras, which first appeared in the theory of quantum integrable models and later they were formalized by Drinfeld and Jimbo. In this paper we present a classification scheme for quantum groups, whose classical limit is a polynomial Lie algebra. As a consequence we obtain deformed XXX and XXZ Hamiltonians. 

【 授权许可】

Unknown