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Braided Hopf algebras and differential calculus

1994/03/16 by M. Schlieker, Michael Schlieker, Bruno Zumino
Mathematics · Physics and Astronomy · #Advanced Operator Algebra Research #Algebraic structures and combinatorial models #Homotopy and Cohomology in Algebraic Topology #hep-th #math.QA

paper · pdf · doi:10.1007/bf00750809

published as Lett.Math.Phys. 33 (1995) 33-38 · 8 pages

arxiv created 1994/03/16 · openalex publication_date 1995/01/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

We show that the algebra of the bicovariant differential calculus on a quantum group can be understood as a projection of the cross product between a braided Hopf algebra and the quantum double of the quantum group. The resulting super-Hopf algebra can be reproduced by extending the exterior derivative to tensor products.

Citations