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Dynamical Yang-Baxter Maps Associated with Homogeneous Pre-Systems
Noriaki Kamiya and Youichi Shibukawa
Source: J. Gen. Lie Theory Appl. Volume 5
(2011), Article ID
G110106, 9 pages.
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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Links and Identifiers
Permanent link to this document: http://projecteuclid.org/euclid.jglta/1317309042
Digital Object Identifier: doi:10.4303/jglta/G110106
Mathematical Reviews number (MathSciNet): MR2846728
Zentralblatt MATH identifier: 1226.81093
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