Roots of unity as a Lie algebra
نویسنده
چکیده
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 representations of C . Mathematics Subject Classification: 18D10, 17B01, 18D50.
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