1992/11/19 by A. P. Isaev, A.P. Isaev, P. N. Pyatov +1 · 1 citation
Mathematics · Physics and Astronomy · #Advanced Operator Algebra Research #Algebraic structures and combinatorial models #Homotopy and Cohomology in Algebraic Topology #hep-th
paper · pdf · doi:10.1016/0375-9601(93)90654-i
published as Phys.Lett.A179:81-90,1993 · 13 pages, Dubna Preprint JINR E2-92-477
arxiv created 1992/11/19 · openalex publication_date 1993/08/01 · arxiv updated 2010/11/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
We consider GLq(N)-covariant quantum algebras with generators satisfying quadratic polynomial relations. We show that, up to some inessential arbitrariness, there are only two kinds of such quantum algebras, namely, the algebras with q-deformed commutation and q-deformed anticommutation relations. The connection with the bicovariant differential calculus on the linear quantum groups is disscussed.