期刊
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
卷 42, 期 16, 页码 -出版社
IOP PUBLISHING LTD
DOI: 10.1088/1751-8113/42/16/165202
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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) quasi-triangular 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.
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