HIGHER CATEGORIFIED ALGEBRAS VERSUS BOUNDED HOMOTOPY ALGEBRAS

被引：0

作者：

Khudaverdyan, David ^{[1
]}

Mandal, Ashis ^{[1
]}

Poncin, Norbert ^{[1
]}

机构：

[1] Univ Luxembourg, Math Res Unit, L-1359 Luxembourg, Luxembourg

来源：

THEORY AND APPLICATIONS OF CATEGORIES | 2011年 / 25卷

关键词：

Higher category; homotopy algebra; monoidal category; Eilenberg-Zilber map;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页码：251 / U406

页数：26

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