弱拟Hopf代数上的积分理论

Integral Theory over the Weak Quasi-Hopf Algebra

本文主要讨论弱拟Hopf代数上的积分理论.首先将Hopf模基本结构定理推 广到弱拟Hopf代数上,并在给出积分与余积分的概念后,考虑了有限维弱拟Hopf代 数的对称性及半单性.

In this paper, we discuss mainly the integral theory for weak quasi-Hopf algebras. First we generalize the fundamental structure theorem on Hopf-modules to weak quasi-Hopf algebras. Introducing the definitions of integral and cointegral we also consider the symmetry and semisimplicity of the finite-dimensional weak quasi-Hopf algebra.