首页 | 本学科首页   官方微博 | 高级检索  
     检索      


The Factorization Problem and the Smash Biproduct of Algebras and Coalgebras
Authors:S Caenepeel  Bogdan Ion  G Militaru  Shenglin Zhu
Institution:(1) Faculty of Applied Sciences, University of Brussels, VUB, Pleinlaan 2, B-1050 Brussels, Belgium;(2) Department of Mathematics, Princeton University, Fine Hall, Washington Road, Princeton, NJ, 08544-1000, U.S.A.;(3) Faculty of Mathematics, University of Bucharest, Str. Academiei 14, RO-70109 Bucharest 1, Romania;(4) Institute of Mathematics, Fudan University, Shanghai, 200433, China
Abstract:We consider the factorization problem for bialgebras. Let L and H be algebras and coalgebras (but not necessarily bialgebras) and consider two maps R : H otimes L rarr L otimes H and W : L otimes H rarr H otimes L. We introduce a product K = L W bowtie R H and we give necessary and sufficient conditions for K to be a bialgebra. Our construction generalizes products introduced by Majid and Radford. Also, some of the pointed Hopf algebras that were recently constructed by Beattie, Dabrevescabrevelescu and Grünenfelder appear as special cases.
Keywords:Hopf algebra  smash product  factorization structure
本文献已被 SpringerLink 等数据库收录!
设为首页 | 免责声明 | 关于勤云 | 加入收藏

Copyright©北京勤云科技发展有限公司  京ICP备09084417号