GENERALIZED HOM-LIE STRUCTURE OF MONOIDAL HOM-ALGEBRAS IN A CATEGORY

摘要

In this paper, we study the structure of monoidal Hom-Lie algebras in the category _HM of H-modules for a triangular Hopf algebra (H, R) and in particular the H-Lie structure of a monoidal Hom-algebra in _HM by analogy with that of generalized Lie algebras.