2000/12/20 by Gaetano Fiore, Harold Steinacker, J. Wess +1 · 2 citations
Mathematics · Physics and Astronomy · #Advanced Operator Algebra Research #Advanced Topics in Algebra #Algebra over a field #Algebraic structures and combinatorial models #Division algebra #Exact solutions in general relativity #Hopf algebra #Mathematics #Physics #Pure mathematics #Quantum #Quantum group #Quantum mechanics #Quasitriangular Hopf algebra #Subalgebra #Tensor algebra #Tensor contraction #Tensor density #Tensor field #Tensor product #Tensor product of Hilbert spaces #Tensor product of algebras #Tensor product of modules #hep-th #math.QA #msc:17B37 #msc:81R50
paper · pdf · doi:10.1134/1.1432909
published in Physics of Atomic Nuclei 64(12), 2116-2120 (Pleiades Publishing) · LaTex file, 12 pages. Talk given at the 23-rd International Conference on Group Theory Methods in Physics, Dubna (Russia), August 2000
arxiv created 2000/12/20 · openalex publication_date 2001/12/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We briefly report on our result that the braided tensor product algebra of two module algebras A 1 , A 2 of a quasitriangular Hopf algebra H is equal to the ordinary tensor product algebra of A 1 with a subalgebra isomorphic to A 2 and commuting with A 1 , provided there exists a realization of H within A 1 . As applications of the theorem, we consider the braided tensor product algebras of two or more quantum group covariant quantum spaces or deformed Heisenberg algebras.