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arXiv · 1007.5458

Higher categorified algebras versus bounded homotopy algebras

David Khudaverdyan·Ashis Mandal·Norbert Poncin
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Abstract

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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David Khudaverdyan, Ashis Mandal, Norbert Poncin. 2010-07-30. Higher categorified algebras versus bounded homotopy algebras. https://arxiv.org/abs/1007.5458

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