Coextension of scalars in operad theory
Category Theory
2022-10-25 v2 Algebraic Topology
Abstract
The functor between operadic algebras given by restriction along an operad map generally has a left adjoint. We give a necessary and sufficient condition for the restriction functor to admit a right adjoint. The condition is a factorization axiom which roughly says that operations in the codomain operad can be written essentially uniquely as operations in arity one followed by operations in the domain operad.
Keywords
Cite
@article{arxiv.1906.12275,
title = {Coextension of scalars in operad theory},
author = {Gabriel C. Drummond-Cole and Philip Hackney},
journal= {arXiv preprint arXiv:1906.12275},
year = {2022}
}
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40 pages