Rational homotopy of Leibniz algebras

被引：0
|
作者：
Muriel Livernet
机构：
[1] Institut de Recherche Mathématique Avancée,
[2] Université Louis Pasteur et CNRS,undefined
[3] 7 rue René-Descartes,undefined
[4] F-67084 Strasbourg Cedex,undefined
[5] France.¶e-mail: livernet@math.u-strasbg.fr,undefined
来源：
manuscripta mathematica | 1998年 / 96卷
关键词：
Mathematics Subject Classification (1991):55P62, 17A30, 18Gxx;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We construct a non-commutative rational homotopy theory by replacing the pair (Lie algebras, commutative algebras) by the pair (Leibniz algebras, Leibniz-dual algebras). Both pairs are Koszul dual in the sense of operads (Ginzburg–Kapranov). We prove the existence of minimal models and the Hurewicz theorem in this framework. We define Leibniz spheres and prove that their homotopy is periodic.
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页码：295 / 315
页数：20
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