1996/10/31 by Boucif Abdesselam
Mathematics · Physics and Astronomy · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Noncommutative and Quantum Gravity Theories #math.QA #q-alg
paper · pdf · doi:10.1063/1.532201
21 pages, latex, no figures, Somes comments and references has been added, version to be published in Journal of Mathematical Physics
arxiv created 1997/06/27 · openalex publication_date 1997/12/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
A two parametric deformation of the enveloping Heisenberg algebra ℋ(4) that appears as a combination of the standard and a nonstandard quantization given by Ballesteros and Herranz is defined and proved to be Ribbon Hopf algebra. The universal ℛ matrix and its associated quantum group are constructed. A new solution of the Braid group is obtained. The contribution of these parameters in invariants of links and the Wess–Zumino–Witten (WZW) model are analyzed. General results for twisted Ribbon Hopf algebra are derived.