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Title: Roots of unity as a Lie algebra
Related: Georgian mathematical journal, Vol. 9, Issue 4, p.683-690
Publisher: Heidermann
Date: 2002
Author/Creator: Davydov, A
Author/Creator: Street, R
Description: 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.
Description: 8 page(s)
Subject Keyword: Lie algebra
Subject Keyword: operad
Subject Keyword: substitude
Subject Keyword: species
Subject Keyword: cyclic group
Resource Type: journal article
Organisation: Macquarie University. Dept. of Mathematics

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