English

LIE n-RACKS

Rings and Algebras 2011-01-19 v2

Abstract

In this paper, we introduce the category of Lie nn-racks and generalize several results known on racks. In particular, we show that the tangent space of a Lie nn-Rack at the neutral element has a Leibniz nn-algebra structure. We also define a cohomology theory of nn-racks..

Keywords

Cite

@article{arxiv.1101.1974,
  title  = {LIE n-RACKS},
  author = {Guy Roger Biyogmam},
  journal= {arXiv preprint arXiv:1101.1974},
  year   = {2011}
}

Comments

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

R2 v1 2026-06-21T17:10:06.556Z