Quantum Yang-Baxter equation, arbitrary gradings and exchange Hecke braidings

2004/03/22 by W. Marcinek
Mathematics · Physics and Astronomy · #math.QA #cond-mat.other #hep-th #math.CT #quant-ph

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published as Published in W. Marcinek Memorial Volume of Kharkov University Journal Vestnik KNU, ser. "Nuclei, particles and fields". - 2003. - V. 601. - N 2(22). - p. 60--66 · 14 pages, AmSLaTeX2e, see W. Marcinek (1952-2003) Memorial Page at http://www.math.uni-mannheim.de/~duplij/marcinek

arxiv created 2004/03/22 · arxiv updated 2009/12/01

Abstract

Generalization of the quantum Yang-Baxter equation solutions to an arbitrary grading is studied. The noncommutative differential calculi corresponding to such solutions is considered. The connection with the ordinary and supersymmetric solutions of the quantum Yang-Baxter equation is given.

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