25 Years of Quantum Groups: from Definition to Classification
Artikel i övriga tidskrifter, 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

Författare

Alexander Stolin

Chalmers, Matematiska vetenskaper

Göteborgs universitet

Acta Polytechnica

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

Vol. 48 2 25-28

Ämneskategorier

Matematik

Fundament

Grundläggande vetenskaper