Hom-Lie Admissible Hom-coalgebras and Hom-Hopf Algebras
Makhlouf, Abdenacer; Silvestrov, Sergei (2007). Hom-Lie Admissible Hom-coalgebras and Hom-Hopf Algebras. Preprints in Mathematical Sciences (25)
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Unpublished
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English
Authors:
Makhlouf, Abdenacer
;
Silvestrov, Sergei
Department:
Mathematics (Faculty of Engineering)
Non-commutative Geometry-lup-obsolete
Project:
Non-commutative Analysis of Dynamics, Fractals and Wavelets
Non-commutative Geometry in Mathematics and Physics
Research Group:
Non-commutative Geometry-lup-obsolete
Abstract:
The aim of this paper is to generalize the concept of Lie-admissible coalgebra introduced by Goze and Remm to Hom-coalgebras and to introduce Hom-Hopf algebras with some properties. These structures are based on the Hom-algebra structures introduced by the authors.
Keywords:
Hom-bialgebras ;
Hom-Lie algebras ;
Hom-coalgebras ;
Hom-associative algebras ;
Lie admissible hom-Lie algebras ;
Hom-Hopf algebras
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