BibTex RIS Cite

THE CLASSICAL HOM-YANG-BAXTER EQUATION AND HOM-LIE BIALGEBRAS

Year 2015, Volume: 17 Issue: 17, 11 - 45, 01.06.2015
https://doi.org/10.24330/ieja.266210

Abstract

Motivated by recent work on Hom-Lie algebras and the HomYang-Baxter
equation, we introduce a twisted generalization of the classical
Yang-Baxter equation (CYBE), called the classical Hom-Yang-Baxter equation
(CHYBE). We show how an arbitrary solution of the CYBE induces
multiple infinite families of solutions of the CHYBE. We also introduce the
closely related structure of Hom-Lie bialgebras, which generalize Drinfel’d’s
Lie bialgebras. In particular, we study the questions of duality and cobracket
perturbation and the sub-classes of coboundary and quasi-triangular Hom-Lie
bialgebras.

Year 2015, Volume: 17 Issue: 17, 11 - 45, 01.06.2015
https://doi.org/10.24330/ieja.266210

Abstract

There are 0 citations in total.

Details

Other ID JA98RG24KE
Journal Section Articles
Authors

Donald Yau This is me

Publication Date June 1, 2015
Published in Issue Year 2015 Volume: 17 Issue: 17

Cite

APA Yau, D. (2015). THE CLASSICAL HOM-YANG-BAXTER EQUATION AND HOM-LIE BIALGEBRAS. International Electronic Journal of Algebra, 17(17), 11-45. https://doi.org/10.24330/ieja.266210
AMA Yau D. THE CLASSICAL HOM-YANG-BAXTER EQUATION AND HOM-LIE BIALGEBRAS. IEJA. June 2015;17(17):11-45. doi:10.24330/ieja.266210
Chicago Yau, Donald. “THE CLASSICAL HOM-YANG-BAXTER EQUATION AND HOM-LIE BIALGEBRAS”. International Electronic Journal of Algebra 17, no. 17 (June 2015): 11-45. https://doi.org/10.24330/ieja.266210.
EndNote Yau D (June 1, 2015) THE CLASSICAL HOM-YANG-BAXTER EQUATION AND HOM-LIE BIALGEBRAS. International Electronic Journal of Algebra 17 17 11–45.
IEEE D. Yau, “THE CLASSICAL HOM-YANG-BAXTER EQUATION AND HOM-LIE BIALGEBRAS”, IEJA, vol. 17, no. 17, pp. 11–45, 2015, doi: 10.24330/ieja.266210.
ISNAD Yau, Donald. “THE CLASSICAL HOM-YANG-BAXTER EQUATION AND HOM-LIE BIALGEBRAS”. International Electronic Journal of Algebra 17/17 (June 2015), 11-45. https://doi.org/10.24330/ieja.266210.
JAMA Yau D. THE CLASSICAL HOM-YANG-BAXTER EQUATION AND HOM-LIE BIALGEBRAS. IEJA. 2015;17:11–45.
MLA Yau, Donald. “THE CLASSICAL HOM-YANG-BAXTER EQUATION AND HOM-LIE BIALGEBRAS”. International Electronic Journal of Algebra, vol. 17, no. 17, 2015, pp. 11-45, doi:10.24330/ieja.266210.
Vancouver Yau D. THE CLASSICAL HOM-YANG-BAXTER EQUATION AND HOM-LIE BIALGEBRAS. IEJA. 2015;17(17):11-45.

Cited By








O-operators on hom-Lie algebras
Journal of Mathematical Physics
Satyendra Kumar Mishra
https://doi.org/10.1063/5.0026719

Обобщение $H$-псевдобиалгебр Ли
Теоретическая и математическая физика
Цинь Сю Сунь
https://doi.org/10.4213/tmf9188




Para-Kähler hom-Lie algebras
Journal of Algebra and Its Applications
E. Peyghan
https://doi.org/10.1142/S0219498819500440

On Hom-Prealternative Bialgebras
Algebras and Representation Theory
Qinxiu Sun
https://doi.org/10.1007/s10468-016-9594-7