Mathematics – Rings and Algebras
Scientific paper
2011-01-10
Mathematics
Rings and Algebras
11 pages, added references, added new section on cohomology of $n$-racks, fixed definition of $n$-quandle, added example of $n
Scientific paper
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..
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