THE AFFINENESS CRITERION FOR WEAK YETTER-DRINFEL’D MODULES

Year 2014, , 41 - 55, 01.06.2014

Shuangjian Guo

https://doi.org/10.24330/ieja.266236

Abstract

In this paper, we introduce the concept of total quantum integrals
in the case of weak Hopf algebras and study the affineness criterion for weak
Yetter-Drinfel’d modules, which is a generalization of the results studied by
Menini and Militaru (J. Algebra, 247 (2002), 467-508).

Keywords

Weak Hopf algebra, total quantum integral, comodule algebra

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• School of Mathematics and Statistics Guizhou University of Finance and Economics Guiyang, Guizhou 550025, China e-mail: [e-mail]