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2011 Dynamical Yang-Baxter Maps Associated with Homogeneous Pre-Systems
Noriaki Kamiya, Youichi Shibukawa
J. Gen. Lie Theory Appl. 5: 1-9 (2011). DOI: 10.4303/jglta/G110106

Abstract

We construct dynamical Yang-Baxter maps, which are set-theoretical solutions to a version of the quantum dynamical Yang-Baxter equation, by means of homogeneous pre-systems, that is, ternary systems encoded in the reductive homogeneous space satisfying suitable conditions. Moreover, a characterization of these dynamical Yang-Baxter maps is presented.

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Noriaki Kamiya. Youichi Shibukawa. "Dynamical Yang-Baxter Maps Associated with Homogeneous Pre-Systems." J. Gen. Lie Theory Appl. 5 1 - 9, 2011. https://doi.org/10.4303/jglta/G110106

Information

Published: 2011
First available in Project Euclid: 29 September 2011

zbMATH: 1226.81093
MathSciNet: MR2846728
Digital Object Identifier: 10.4303/jglta/G110106

Subjects:
Primary: 20N05, 20N10, 53C30, 53C35, 81R50

Rights: Copyright © 2011 Ashdin Publishing (2009-2013) / OMICS International (2014-2016)

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