Roots of unity as a Lie algebra

Abstract

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)

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Cite this paper

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