Hopf modules in the braided monoidal category $_LM$

  • Yin Yanmin
  • Zhang Mingchuan
Keywords: Weak Hopf algebra, Hopf module, Fundamental theorem.

Abstract

Suppose that L is a quasitriangular weak Hopf algebra with a bijective antipode and H is a weak Hopf algebra in the braided nonoidal category LM. We prove that the fundamental theorem for right H-Hopf modules in LM. Our results in this paper generalize previous fundamental theorem for Hopf module on the Hopf algebras and weak Hopf algebras.

Published
2011-06-27
Section
Articoli