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25 Years of Quantum Groups: from Definition to Classification

Alexander Stolin (Institutionen för matematiska vetenskaper)
Acta Polytechnica (1210-2709). Vol. 48 (2008), 2, p. 25-28.
[Artikel, övrig vetenskaplig]

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.

Nyckelord: Lie bialgebra; quantum group; Yang-Baxter equation;quantization; quantum twist; integrable model



Denna post skapades 2014-06-10.
CPL Pubid: 199056

 

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