HOM-YANG-BAXTER EQUATION, HOM-LIE ALGEBRAS, AND QUASI-TRIANGULAR BIALGEBRAS (903)
by
Donald Yau
| Citations: | 6 - 4 self |
BibTeX
@MISC{Yau903hom-yang-baxterequation,,
author = {Donald Yau},
title = {HOM-YANG-BAXTER EQUATION, HOM-LIE ALGEBRAS, AND QUASI-TRIANGULAR BIALGEBRAS},
year = {903}
}
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Abstract
Abstract. We study a twisted version of the Yang-Baxter Equation, called the Hom-Yang-Baxter Equation (HYBE), which is motivated by Hom-Lie algebras. Three classes of solutions of the HYBE are constructed, one from Hom-Lie algebras and the others from Drinfeld’s (dual) quasitriangular bialgebras. Each solution of the HYBE can be extended to operators that satisfy the braid relations. Assuming an invertibility condition, these operators give a representation of the braid group. 1.
