On the adjoint map of homotopy abelian DG-Lie algebras

IF 0.5 Q3 MATHEMATICS

Archivum Mathematicum Pub Date : 2019-01-01 DOI:10.5817/AM2019-1-7

Donatella Iacono, M. Manetti

引用次数: 1

Abstract

. We prove that a differential graded Lie algebra is homotopy abelian if its adjoint map into its cochain complex of derivations is trivial in cohomology. The converse is true for cofibrant algebras and false in general.

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关于同伦阿贝尔dg -李代数的伴随映射

．证明了一个微分梯度李代数是同伦阿贝尔的，如果它的伴随映射到它的派生的协链复上同调是平凡的。反之，对于协代数为真，一般为假。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Archivum Mathematicum MATHEMATICS-

CiteScore

0.70

自引率

16.70%

发文量

审稿时长

35 weeks

期刊介绍： Archivum Mathematicum is a mathematical journal which publishes exclusively scientific mathematical papers. The journal, founded in 1965, is published by the Department of Mathematics and Statistics of the Faculty of Science of Masaryk University. A review of each published paper appears in Mathematical Reviews and also in Zentralblatt für Mathematik. The journal is indexed by Scopus.