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 representations of C.
Original language | English |
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Pages (from-to) | 683-690 |
Number of pages | 8 |
Journal | Georgian Mathematical Journal |
Volume | 9 |
Issue number | 4 |
Publication status | Published - 2002 |
Keywords
- Lie algebra
- operad
- substitude
- species
- cyclic group