Quantum Yang-Baxter equation, braided semigroups, and dynamical Yang-Baxter maps.
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Publication:498655
DOI10.3836/tjm/1437506246zbMath1332.16028OpenAlexW2135551864MaRDI QIDQ498655
Youichi Shibukawa, Diogo Kendy Matsumoto
Publication date: 29 September 2015
Published in: Tokyo Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3836/tjm/1437506246
tensor categoriesleft quasigroupsbraided semigroupsdynamical Yang-Baxter mapsquantum Yang-Baxter equations
Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Yang-Baxter equations (16T25)
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Quiver-theoretical approach to dynamical Yang-Baxter maps ⋮ A characterization of modular law and distributive law of lattices by the Yang-Baxter maps ⋮ Hopf algebroids and rigid tensor categories associated with dynamical Yang-Baxter maps ⋮ Set-theoretic solutions of the Yang-Baxter equation, braces and symmetric groups ⋮ On \(\mathbb{P} M\)-monoids and braid \(\mathbb{P} M\)-monoids ⋮ On \(\mathbb{P} M\)-mapping class monoids
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