Morita context of weak Hopf algebras |
| |
Authors: | Bo Hou |
| |
Affiliation: | a College of Mathematics and Information Science, Hebei Normal University, Shijiazhuang 050016, China b Department of Mathematics and Information Science, Tangshan Teacher's College, Tangshan 063000, China |
| |
Abstract: | Let H be a finite-dimensional weak Hopf algebra and A a left H-module algebra with its invariant subalgebra AH. We prove that the smash product A # H is an A-ring with a grouplike character, and give a criterion for A # H to be Frobenius over A. Using the theory of A-rings, we mainly construct a Morita context 〈AH, A#H, A, A, τ, μ〉 connecting the smash product A # H and the invariant subalgebra AH, which generalizes the corresponding results obtained by Cohen, Fischman and Montgomery. |
| |
Keywords: | weak Hopf algebras A-rings morita context Frobenius extension |
本文献已被 CNKI 维普 ScienceDirect 等数据库收录! |
|