25 Years of Quantum Groups: from Definition to Classification
DOI:
https://doi.org/10.14311/955Keywords:
Lie bialgebra, quantum group, Yang-Baxter equation, quantization, classical twist, quantum twist, integrable modelAbstract
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.Downloads
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