· 2016· Preprint
MONOIDAL HOM-HOPF ALGEBRAS
- 191citations
- 2016year
Short summary
This paper introduces a symmetric monoidal category where Hom-algebras are equivalent to algebras within that category, extending this equivalence to coalgebras, Hopf algebras, and Lie algebras.
AI-generated from the title and abstract; the full text is not read.
Key points
- Introduced a symmetric monoidal category for studying Hom-structures.
- Demonstrated that Hom-algebras are equivalent to algebras in this category.
- Extended this equivalence to Hom-coalgebras, Hom-Hopf algebras, and Hom-Lie algebras.
AI-generated from the title and abstract; the full text is not read.
Abstract
Hom-structures (Lie algebras, algebras, coalgebras, Hopf algebras) have been investigated in the literature recently. We study Hom-structures from the point of view of monoidal categories; in particular, we introduce a symmetric monoidal category such that Hom-algebras coincide with algebras in this monoidal category, and similar properties for coalgebras, Hopf algebras, and Lie algebras.
The authors' abstract, as published at the source., 2016 · DOI ↗
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Field: Algebra and Number Theory
Algebra and Number TheoryMathematics