## Abstract substitution in enriched categories (preprint

- B. Day, R. Street
- 2002

This note gives a categorical development arising from a theorem of A.A. Klyachko relating the Lie operad to roots of unity. We examine the "substitude" structure on the groupoid C whose homsets are the cyclic groups. The roots of unity representations of the cyclic groups form a Lie algebra for a certain oplax monoidal structure on the category of linear… (More)

@inproceedings{Davydov2003RootsOU,
title={Roots of unity as a Lie algebra},
author={Alexei Davydov},
year={2003}
}