Strongly homotopy Lie algebras of one even and two odd dimensions

被引：7

作者：

Fialowski, A

Penkava, M

机构：

[1] Eotvos Lorand Univ, Dept Appl Anal, H-1117 Budapest, Hungary

[2] Univ Wisconsin, Dept Math, Eau Claire, WI 54702 USA

来源：

JOURNAL OF ALGEBRA | 2005年 / 283卷 / 01期

关键词：

strongly homotopy Lie algebras; L-infinity algebras; superalgebras; Lie algebras; extensions; Moduli space;

D O I：

10.1016/j.jalgebra.2004.08.023

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We classify strongly homotopy Lie algebras-also called Linfinity algebras-of one even and two odd dimensions, which are related to 2\1-dimensional Z(2)-graded Lie algebras. What makes this case interesting is that there are many nonequivalent Linfinity examples, in addition to the Z(2)-graded Lie algebra (or superalgebra) structures, yet the moduli space is simple enough that we can give a complete classification up to equivalence. (C) 2004 Elsevier Inc. All rights reserved.

引用

页码：125 / 148

页数：24

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