Ganea term for homology of Leibniz n-algebras

被引：3
|
作者：
Casas, JM [1 ]
机构：
[1] Univ Vigo, EUIT Forestal, Dept Matemat Aplicada 1, Pontevedra 36005, Spain
来源：
ALGEBRA COLLOQUIUM | 2005年 / 12卷 / 04期
关键词：
Leibniz n-algebra; Leibniz homology; centre; central extension;
D O I：
10.1142/S1005386705000593
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We extend the five-term exact sequence of homology with trivial coefficients of Leibniz n-algebras nHL1(K) -> nHL1(L) -> M -> nHL0(K) -> nHL0(L) -> 0 associated to a central extension of Leibniz n-algebras 0 -> M -> K -> L -> 0 by means of a sixth term which is a generalization of the Ganea term for homology of Leibniz algebras. We use this sequence in order to analyze several questions related with the centre and central extensions of a Leibniz n-algebra.
引用
收藏
页码：629 / 634
页数：6
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