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

Donald Yau

doi:https://doi.org/10.24330/ieja.266210

Makale detayları

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

Yazarlar:

Donald Yau

Yayıncı:

Abdullah HARMANCI

Dergi:

International Electronic Journal of Algebra 2015 Vol.17 Issue 17, pp.11-45

Belge Tipi:

Makale

Yayın Tarihi:

5/2015

Belge Dili:

Türkçe

Document ID (Org No.):

2000718147

Sıklık:

Aylık

eISSN:

1306-6048

pISSN:

1306-6048

DOI:

https://doi.org/10.24330/ieja.266210

Özet:

 

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.

Makale detayları

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

Yazarlar: Donald Yau

Yayıncı: Abdullah HARMANCI

Dergi: International Electronic Journal of Algebra 2015 Vol.17 Issue 17, pp.11-45

Belge Tipi: Makale

Yayın Tarihi: 5/2015

Belge Dili: Türkçe

Document ID (Org No.): 2000718147

Sıklık: Aylık

eISSN: 1306-6048

pISSN: 1306-6048

DOI: https://doi.org/10.24330/ieja.266210

Sayı

Yazarlar:

Donald Yau

Yayıncı:

Abdullah HARMANCI

Dergi:

International Electronic Journal of Algebra 2015 Vol.17 Issue 17, pp.11-45

Belge Tipi:

Makale

Yayın Tarihi:

5/2015

Belge Dili:

Türkçe

Document ID (Org No.):

2000718147

Sıklık:

Aylık

eISSN:

1306-6048

pISSN:

1306-6048

DOI:

https://doi.org/10.24330/ieja.266210