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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


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.


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

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

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

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

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