Integrating L∞-algebras

被引：79
作者：
Henriques, Andre [1 ]
机构：
[1] Univ Utrecht, Inst Math, NL-3508 TA Utrecht, Netherlands
来源：
COMPOSITIO MATHEMATICA | 2008年 / 144卷 / 04期
关键词：
L(infinity)-algebra; simplicial manifold; string group; Lie; 2-group; 2-algebra; Kan condition;
D O I：
10.1112/S0010437X07003405
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Given a Lie n-algebra, we provide an explicit construction of its integrating Lie n-group. This extends work done by Getzler in the case of nilpotent L(infinity)-algebras. When applied to an ordinary Lie algebra, our construction yields the simplicial classifying space of the corresponding simply connected Lie group. In the case of the string Lie 2-algebra of Baez and Crans, we obtain the simplicial nerve of their model of the string group.
引用
收藏
页码：1017 / 1045
页数：29
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