LIE n-RACKS

Preprint English OPEN
Biyogmam, Guy Roger;
(2011)
  • Subject: Mathematics - Rings and Algebras | 17AXX, 18E10, 18G35
    arxiv: Mathematics::Geometric Topology | Mathematics::Quantum Algebra | Computer Science::Robotics | Mathematics::Category Theory

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 $n$... View more
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