Mapping coalgebras II: Operads
Brice Le Grignou
TL;DR
This paper explores how coalgebraic structures on operads influence the algebraic structures within their associated categories, providing a theoretical framework for understanding these relationships.
Contribution
It introduces a novel approach to mapping coalgebras to operads, detailing how coalgebraic structures induce algebraic structures on categories of algebras and coalgebras.
Findings
Coalgebraic structures induce algebraic structures on categories of algebras and coalgebras.
Operads can be equipped with coalgebraic structures that influence their algebraic counterparts.
The framework enhances understanding of the interplay between coalgebras and operads.
Abstract
In this article, we describe how coalgebraic structures on operads induce algebraic structures on their categories of algebras and coalgebras.
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Taxonomy
TopicsAdvanced Topics in Algebra · Rings, Modules, and Algebras · Homotopy and Cohomology in Algebraic Topology