Self-Duality and Generalized Bicrossproducts Hopf Algebras
Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah, P. O. Box 80257, Jeddah 215 89 (Saudi Arabia).
DOI : http://dx.doi.org/10.13005/msri/040210
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In this paper we generalize the construction of a bicrossproduct Hopf algebra from a factorization of a finite group X into a subgroup G and a subsemigroup H. In addition, we show that these bicrossproduct Hopf algebras are self-dual as Hopf algebras whenever they correspond to factor-reversing automorphisms of X.
KEYWORDS:Self duality; bicrossproducts Hopf algebras
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Article Publishing History
Received on: 26 Nov 2007
Accepted on: 21 Dec 2007
Accepted on: 21 Dec 2007
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