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Braided matrix structure ofq-Minkowski space andq-Poincar� group

1993/12/21 by Shahn Majid, Ulrich Meyer · 1 citation
Mathematics · Physics and Astronomy · #Advanced Algebra and Geometry #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Braid #Braid group #Computer science #Group (periodic table) #Materials science #Mathematical analysis #Mathematical physics #Mathematics #Matrix (chemical analysis) #Minkowski space #Physics #Pure mathematics #Quantum mechanics #Space (punctuation) #hep-th #math.QA

paper · pdf · doi:10.1007/bf01411029

published as Z.Phys. C63 (1994) 357-362 · 12 pages

arxiv created 1993/12/21 · openalex publication_date 1994/06/01 · arxiv updated 2009/11/30 · openalex created_date 2020/01/23 · openalex updated_date 2026/08/05

Abstract

We clarify the relation between the approach to q-Minkowski space of Carow-Watamura et al. with an approach based on the idea of 2× 2 braided Hermitean matrices. The latter are objects like super-matrices but with Bose-Fermi statistics replaced by braid statistics. We also obtain new R-matrix formulae for the q-Poincare group in this framework.

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