Title of article :
INNER DEFORMATIONS OF ENTWINED MODULES AND THEIR SIMPLENESS
Author/Authors :
Qiaoling, Guo Southeast University - Department of Mathematics, CHINA , Shuanhong, Wang Southeast University - Department of Mathematics, CHINA , Yan, Zhang Henan Normal University - College of Computation and Information Technology, CHINA
Abstract :
The paper is devoted to studying certain families of inner deformations of entwined modules and investigating simple entwined modules. Our main results can be applied to the study of the inner deformation of all kinds of Hopf modules and the irreducible representations of a wide class of Hopf algebras constructed by smash products. As an explicit application, we consider the case of quantum Yetter–Drinfel’d modules.
Keywords :
entwined module , inner deformation , quantum Yetter , Drinfel’d module
Journal title :
The Arabian Journal for Science and Engineering
Journal title :
The Arabian Journal for Science and Engineering
