Jordanian U_h,sgl(2) and its coloured realization

1997/05/28 by Preeti Parashar, Parashar, Preeti
Arts and Humanities · Mathematics · #Ancient Egypt and Archaeology #Ancient Near East History #Archaeology and Historical Studies #FOS: Mathematics #Quantum Algebra (math.QA) #math.QA #q-alg

paper · pdf · doi:10.48550/arxiv.q-alg/9705027

Latex, 8 pages, minor changes, to appear in Lett.Math.Phys

openalex publication_date 1997/05/28 · arxiv created 1998/01/20 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

A two-parametric non-standard (Jordanian) deformation of the Lie algebra gl(2) is constructed, and then, exploited to obtain a new, triangular R-matrix solution of the coloured Yang-Baxter equation. The corresponding coloured quantum group is presented explicitly.

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