1996/02/29 by Angel Ballesteros, Francisco J. Herranz, Francisco J Herranz · 3 citations
Mathematics · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Homotopy and Cohomology in Algebraic Topology #math.QA #q-alg
paper · pdf · doi:10.1088/0305-4470/29/15/006
published as J.Phys. A29 (1996) 4307-4320 · 19 pages, LaTeX; revised version to appear in J. Phys. A; quantization of bialgebras is completed
arxiv created 1996/06/05 · openalex publication_date 1996/08/07 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/30
All coboundary Lie bialgebras and their corresponding Poisson - Lie structures are constructed for the oscillator algebra generated by . Quantum oscillator algebras are derived from these bialgebras by using the Lyakhovsky and Mudrov formalism and, for some cases, quantizations at both algebra and group levels are obtained, including their universal R-matrices.