Monoidal Hom–Hopf Algebras

S. Caenepeel; I. Goyvaerts

doi:10.1080/00927872.2010.490800

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JOURNAL ARTICLE

Monoidal Hom–Hopf Algebras

S. Caenepeel I. Goyvaerts

Year: 2011 Journal: Communications in Algebra Vol: 39 (6)Pages: 2216-2240 Publisher: Taylor & Francis

DOI: 10.1080/00927872.2010.490800

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Abstract

Hom-structures (Lie algebras, algebras, coalgebras, Hopf algebras) have been\ninvestigated in the literature recently. We study Hom-structures from the point\nof view of monoidal categories; in particular, we introduce a symmetric\nmonoidal category such that Hom-algebras coincide with algebras in this\nmonoidal category, and similar properties for coalgebras, Hopf algebras and Lie\nalgebras.\n

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Advanced Topics in Algebra

Physical Sciences → Mathematics → Algebra and Number Theory

Algebraic structures and combinatorial models

Physical Sciences → Mathematics → Geometry and Topology

Advanced Operator Algebra Research

Physical Sciences → Mathematics → Mathematical Physics

Monoidal Hom–Hopf Algebras

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