vix.ing · top · new · best · stats · spec

IRREDUCIBLE REPRESENTATIONS OF JORDANIAN QUANTUM ALGEBRA Uh(sl(2)) VIA A NONLINEAR MAP

1996/06/30 by B. Abdesselam, Amlan Chakrabarti, A. Chakrabarti +1 · 1 citation
Mathematics · #Advanced Algebra and Geometry #Advanced Mathematical Identities #Mathematical functions and polynomials #math.QA #q-alg

paper · pdf · doi:10.1142/s0217732396002861

published as Mod. Phys. Lett. A, Vol. 11 No. 36 (1996) 2883-2891 · 10 pages, latex-file, references and some comments are added, version to be published in Mod. Phys. Lett

arxiv created 1996/10/27 · openalex publication_date 1996/11/30 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

The generators of the Jordanian quantum algebra U h ( sl (2)) are expressed as nonlinear invertible functions of the classical sl(2) generators. This permits immediate explicit construction of the finite-dimensional irreducible representations of the algebra U h ( sl (2)). Using this construction, new finite-dimensional solutions of the Yang-Baxter equation may be obtained.

Cited by