$O$-operators on associative algebras and associative Yang-Baxter equations
Rings and Algebras
2013-02-05 v1 Mathematical Physics
Category Theory
math.MP
Quantum Algebra
Abstract
We introduce the concept of an extended O-operator that generalizes the well-known concept of a Rota-Baxter operator. We study the associative products coming from these operators and establish the relationship between extended O-operators and the associative Yang-Baxter equation, extended associative Yang-Baxter equation and generalized Yang-Baxter equation.
Keywords
Cite
@article{arxiv.0910.3261,
title = {$O$-operators on associative algebras and associative Yang-Baxter equations},
author = {Chengming Bai and Li Guo and Xiang Ni},
journal= {arXiv preprint arXiv:0910.3261},
year = {2013}
}
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28 pages