LIE n-RACKS

Abstract

In this paper, 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. We also define a cohomology theory of $n$-racks..

11 pages, added references, added new section on cohomology of $n$-racks, fixed definition of $n$-quandle, added example of $n$-kei, modify MSC class