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TMF, 2017 Volume 192, Number 1, Pages 3–22 (Mi tmf9188)

This article is cited in 2 papers

A generalization of Lie $H$-pseudo-bialgebras

Qinxiu Suna, Fang Lib

a Department of Mathematics, Zhejiang University of Science and Technology, Hangzhou, China
b Department of Mathematics, Zhejiang University, Hangzhou, China

Abstract: We investigate Hom–Lie $H$-pseudo-bialgebras. We present some examples and a theorem that allows constructing these new algebraic structures. We consider coboundary Hom–Lie $H$-pseudo-bialgebras and the corresponding classical Hom–Yang–Baxter equations.

Keywords: Hom–Lie bialgebra, Hom–Lie $H$-pseudo-bialgebra, classical Hom–Yang–Baxter equation, Hom-algebra.

Received: 08.03.2016
Revised: 16.11.2016

DOI: 10.4213/tmf9188


 English version:
Theoretical and Mathematical Physics, 2017, 192:1, 939–957

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