Weak Hopf Algebra Duality in Weak Yetter-drinfeld Categories and Applications
Year: 2009
Type: article
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 Rep(L) = LM of a quasitriangular weak Hopf algebra L.
Authors: Bingliang Shen, Shuanhong Wang
Language: English
Topic: Advanced Topics in Algebra
Subfield: Algebra and Number Theory
Field: Mathematics
Domain: Physical Sciences
Open Access status: bronze
Award: G7986655305
OpenAlex ID: W18323108