WEAK HOPF ALGEBRA DUALITY IN WEAK YETTER-DRINFELD CATEGORIES AND APPLICATIONS

Authors : Bingliang SHEN, Shuanhong WANG

Pages : 74-94

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Publication Date : 2009-12-01

Article Type : Research Paper

Abstract :Let L be a weak Hopf algebra with a bijective antipode SL in the sense of [3]. In this paper we show that if H is a finite-dimensional weak Hopf algebra in the weak Yetter-Drinfeld category L LWYD in the sense of [1], then its dual H∗ is also a weak Hopf algebra in L LWYD. Also we will apply above result to the representations category Repinsert ignore into journalissuearticles values(L); = LM of a quasitriangular weak Hopf algebra L.
Keywords : Weak Hopf algebra, weak Yetter Drinfeld categories, weak co, module co, algebras, duality