Astérisque· 2018Q2
Generalized bialgebras and triples of operads
- 141citations
- Q2SCImago
- 2018year
Short summary
Introduces generalized bialgebras and a new structure called a triple of operads, which unifies various algebraic structures like dendriform, duplicial, and pre-Lie algebras.
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Key points
- Introduces generalized bialgebras as an extension of classical bialgebras.
- Defines a 'triple of operads' as a new unifying algebraic structure.
- Shows that dendriform, duplicial, and pre-Lie algebras are specific examples of triples of operads.
- Connects these structures to the primitive part of a bialgebra.
AI-generated from the title and abstract; the full text is not read.
Abstract
Key words and phrases. Bialgebra, generalized bialgebra, Hopf algebra, Cartier-Milnor-Moore, Poincaré-Birkhoff-Witt, operad, prop, triple of operads, primitive part, dendriform algebra, duplicial algebra, pre-Lie
The authors' abstract, as published at the source. Astérisque, 2018 · DOI ↗
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Field: Algebra and Number Theory
Algebra and Number TheoryMathematics