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3-Hom–Lie Yang–Baxter Equation and 3-Hom–Lie Bialgebras.
- Source :
-
Mathematics (2227-7390) . Jul2022, Vol. 10 Issue 14, pN.PAG-N.PAG. 17p. - Publication Year :
- 2022
-
Abstract
- In this paper, we first introduce the notion of a 3-Hom–Lie bialgebra and give an equivalent description of the 3-Hom–Lie bialgebras, the matched pairs and the Manin triples of 3-Hom–Lie algebras. In addition, we define O -operators of 3-Hom–Lie algebras and construct solutions of the 3-Hom–Lie Yang–Baxter equation in terms of O -operators and 3-Hom–pre-Lie algebras. Finally, we show that a 3-Hom–Lie algebra has a phase space if and only if it is sub-adjacent to a 3-Hom–pre-Lie algebra. [ABSTRACT FROM AUTHOR]
- Subjects :
- *YANG-Baxter equation
*PHASE space
*ALGEBRA
Subjects
Details
- Language :
- English
- ISSN :
- 22277390
- Volume :
- 10
- Issue :
- 14
- Database :
- Academic Search Index
- Journal :
- Mathematics (2227-7390)
- Publication Type :
- Academic Journal
- Accession number :
- 158300484
- Full Text :
- https://doi.org/10.3390/math10142485