Author:
Andruskiewitsch Nicolás,Mombelli Juan Martín
Abstract
AbstractWe construct explicit examples of weak Hopf algebras (actually face algebras in the sense of Hayashi [H]) via vacant double groupoids as explained in [AN]. To this end, we first study the Kac exact sequence for matched pairs of groupoids and show that it can be computed via group cohomology. Then we describe explicit examples of finite vacant double groupoids.
Publisher
Cambridge University Press (CUP)
Reference17 articles.
1. Finite quantum groupoids and their applications;Nikshych;Recent developments in Hopf algebra theory, Math. Sci. Res. Inst. Publ,2002
2. Weak Hopf algebras I. Integral theory and C*
-structure;Böohm;J. Algebra,1999
3. Cohomology of Finite Groups
4. Measurable Kac cohomology for bicrossed products
Cited by
4 articles.
订阅此论文施引文献
订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献
1. Double Weak Hopf Quiver and Its Path Coalgebra;Journal of Function Spaces;2022-02-21
2. Some results and problems on commutators;Frontiers of Mathematics in China;2011-09-05
3. The structure of double groupoids;Journal of Pure and Applied Algebra;2009-06
4. On braided groupoids;Journal of Algebra;2007-01