Families of algebraic structures

Abstract

We give a general account of family algebras over a finitely presented linear operad, this operad together with its presentation naturally defining an algebraic structure on the set of parameters.

arXiv comment35 pages, some tikz pictures

References in corpus (4)

• A Lie theoretic approach to renormalization
• Hopf algebraic Renormalization of Kreimer's toy model
• Dendriform Algebras Relative to a Semigroup
• Coextension of scalars in operad theory

Cited by in corpus (4)

• Commutative matching Rota-Baxter operators, shuffle products with decorations and matching Zinbiel algebras
• Generalized prelie and permutative algebras
• Relative (pre-)anti-flexible algebras and associated algebraic structures
• On extended associative semigroups