Quiver Approaches to Quasi-Hopf Algebras

Abstract

We provide a quiver setting for quasi-Hopf algebras, generalizing the Hopf quiver theory. As applications we obtain some general structure theorems, in particular the quasi-Hopf analogue of the Cartier theorem and the Cartier-Gabriel decomposition theorem.

16 pages

References in corpus (1)

• From Projective Representations to Quasi-Quantum Groups

Cited by in corpus (9)

• On Braided Linear Gr-categories
• From Projective Representations to Quasi-Quantum Groups
• Quasi-Frobenius-Lusztig kernels for simple Lie algebras
• Quasi-Quantum Planes and Quasi-Quantum Groups of Dimension $p^3$ and $p^4$
• The braided monoidal structures on a class of linear Gr-categories
• Graded elementary quasi-Hopf algebras of tame representation type
• Quasi-Quantum Linear Spaces
• On coquasitriangular pointed Majid algebras
• More properties of Yetter-Drinfeld category over dual quasi-Hopf algebras