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SET-THEORETIC YANG–BAXTER SOLUTIONS VIA FOX CALCULUS

J. SCOTT CARTER

Department of Mathematics, University of South Alabama, Mobile, AL 36688, USA

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and

MASAHICO SAITO

Department of Mathematics, University of South Florida, Tampa, FL 33620, USA

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https://doi.org/10.1142/S0218216506004877Cited by:5 (Source: Crossref)

Abstract

We construct solutions to the set–theoretic Yang–Baxter equation using braid group representations in free group automorphisms and their Fox differentials. The method resembles the extensions of groups and quandles.

Dedicated to Professor Louis H. Kauffman for his 60th birthday

Keywords:

AMSC: 57M25, 81R50

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