Hom-Lie admissible Hom-coalgebras and Hom-Hopf algebras

Abstract

The aim of this paper is to generalize the concept of Lie-admissible coalgebra introduced by Goze and Remm to Hom-coalgebras and to introduce Hom-Hopf algebras with some properties. These structures are based on the Hom-algebra structures introduced by the authors.

13 pages

References in corpus (1)

• Quasi-Deformations of sl_2(\F) using twisted derivations

Cited by in corpus (11)

• On unitality conditions for Hom-associative algebras
• Hom-alternative algebras and Hom-Jordan algebras
• Hom-Algebras and Hom-Coalgebras
• Infinitesimal Hom-bialgebras and Hom-Lie bialgebras
• Transposed Hom-Poisson and Hom-pre-Lie Poisson algebras and bialgebras
• Hopf-Galois extensions for monoidal Hom-Hopf algebras
• Non-degenerate Killing forms on Hom-Lie superalgebras
• Extensions of hom-Lie color algebras
• Hom-Tensor Categories and the Hom-Yang-Baxter Equation
• Enveloping algebras of color hom-Lie algebras
• Hom-pre-Malcev and Hom-M-Dendriform algebras