no. 17-18
Algebra/Lie Algebras
Lie n-racks
[n-casiers de Lie]
Présenté par : the Editorial Board
Biyogmam, Guy Roger1
1 Department of Mathematics, Southwestern Oklahoma State University, 100 Campus Drive, Weatherford, OK 73096, USA
Comptes Rendus. Mathématique, Tome 349 (2011) no. 17-18, pp. 957-960

In this Note, we introduce the category of Lie n-racks and generalize several results known on racks. In particular, we show that the tangent space of a Lie n-rack at the neutral element has a Leibniz n-algebra structure.

Dans cette Note, nous introduisons la catégorie des n-casiers de Lie et nous généralisons plusieurs résultats connus pour les racks. En particulier, nous montrons que lʼespace tangent dʼun n-casier de Lie en lʼélément neutre a une structure de n-algèbre de Leibniz.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/j.crma.2011.07.019

Biyogmam, Guy Roger 1

1 Department of Mathematics, Southwestern Oklahoma State University, 100 Campus Drive, Weatherford, OK 73096, USA 
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Biyogmam, Guy Roger. Lie n-racks. Comptes Rendus. Mathématique, Tome 349 (2011) no. 17-18, pp. 957-960. doi: 10.1016/j.crma.2011.07.019

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