LAUSR.org creates dashboard-style pages of related content for over 1.5 million academic articles. Sign Up to like articles & get recommendations!

Double Hom-Associative Algebra and Double Hom–Lie Bialgebra

Photo from archive.org

Recently, Hom-structures have been widely investigated in literature. In this paper, we introduce the conceptions of double Hom-associative algebras and double Hom–Lie bialgebras, and give a necessary and sufficient condition… Click to show full abstract

Recently, Hom-structures have been widely investigated in literature. In this paper, we introduce the conceptions of double Hom-associative algebras and double Hom–Lie bialgebras, and give a necessary and sufficient condition for double Hom-associative algebras to be Hom-associative algebras. Meanwhile, we characterize a classical Hom–Yang–Baxter equation in terms of both Hom–Lie algebra morphisms and Hom–Lie coalgebra morphisms. Last but not least, we introduce the notion of double Hom–Lie bialgebras, and prove that double Hom-associative algebras are indeed quasi-triangular Hom–Lie bialgebras.

Keywords: hom; hom lie; hom associative; associative algebras; double hom

Journal Title: Advances in Applied Clifford Algebras
Year Published: 2019

Link to full text (if available)


Share on Social Media:                               Sign Up to like & get
recommendations!

Related content

More Information              News              Social Media              Video              Recommended



                Click one of the above tabs to view related content.