Higher categorified algebras versus bounded homotopy algebras

Details Higher categorified algebras versus bounded homotopy algebras Higher categorified algebras versus bounded homotopy algebras

2010-07-30

arxiv.org/abs/1007.5458v2

Mathematics

Quantum Algebra

21 pages, 1 figure

Scientific paper

We define Lie 3-algebras and prove that these are in 1-to-1 correspondence with the 3-term Lie infinity algebras whose bilinear and trilinear maps vanish in degree (1,1) and in total degree 1, respectively. Further, we give an answer to a question of [Roy07] pertaining to the use of the nerve and normalization functors in the study of the relationship between categorified algebras and truncated sh algebras.

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