Monoidal Hom-Hopf algebras

Abstract

Hom-structures (Lie algebras, algebras, coalgebras, Hopf algebras) have been investigated in the literature recently. We study Hom-structures from the point of view of monoidal categories; in particular, we introduce a symmetric monoidal category such that Hom-algebras coincide with algebras in this monoidal category, and similar properties for coalgebras, Hopf algebras and Lie algebras.

25 pages; extended version: compared to the version that appeared in Comm. Algebra, the Section Preliminary Results and Remarks 5.1 and 6.1 have been added

Cited by in corpus (8)

• Yetter-Drinfeld modules for Hom-bialgebras
• Constructing New Braided $T$-categories over Monoidal Hom-Hopf Algebras
• Tensor products and perturbations of BiHom-Novikov-Poisson algebras
• Kupershmidt operators on Hom-Malcev algebras and their deformation
• Relative Hom-Hopf modules and total integrals
• Ado theorem for nilpotent Hom-Lie algebras
• Another construction of the braided $T$-category
• Split extensions and actions of bialgebras and Hopf algebras