Self-Duality and Generalized Bicrossproducts Hopf Algebras

M. M. Al-Mosa Al-Shomrani

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

ABSTRACT:

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

Copy the following to cite this article: M. M. Al-Mosa Al-Shomrani M. M. Self-Duality and Generalized Bicrossproducts Hopf Algebras. Mat.Sci.Res.India;4(2)

Copy the following to cite this URL: M. M. Al-Mosa Al-Shomrani M. M. Self-Duality and Generalized Bicrossproducts Hopf Algebras. Mat.Sci.Res.India;4(2). Available from: http://www.materialsciencejournal.org/?p=1429

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