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arXiv · 1906.12275

Coextension of scalars in operad theory

Gabriel C. Drummond-Cole·Philip Hackney
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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.

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Gabriel C. Drummond-Cole, Philip Hackney. 2019-06-28. Coextension of scalars in operad theory. https://doi.org/10.1007/s00209-021-02840-5

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