25 Years of Quantum Groups: from Definition to Classification
Magazine article, 2008

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.

quantum twist

quantization

quantum group

integrable model

Lie bialgebra

Yang-Baxter equation

Author

Alexander Stolin

Chalmers, Mathematical Sciences

University of Gothenburg

Acta Polytechnica

1210-2709 (ISSN) 1805-2363 (eISSN)

Vol. 48 2 25-28

Subject Categories

Mathematics

Roots

Basic sciences

More information

Created

10/7/2017