Leibniz algebras graded by finite root systems

Dong Liu; Naihong Hu

doi:10.1142/S1005386710000416

Leibniz algebras graded by finite root systems

Dong Liu^*
, Naihong Hu

^*此作品的通讯作者

数学科学学院

Huzhou University

科研成果: 期刊稿件 › 文章 › 同行评审

4 引用（Scopus）

摘要

Several authors investigate Lie algebras and Lie superalgebras graded by finite root systems. In this paper, we study Leibniz algebras graded by finite root systems and obtain some results in simply-laced cases.

源语言	英语
页（从-至）	431-446
页数	16
期刊	Algebra Colloquium
卷	17
期	3
DOI	https://doi.org/10.1142/S1005386710000416
出版状态	已出版 - 9月 2010

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title = "Leibniz algebras graded by finite root systems",

abstract = "Several authors investigate Lie algebras and Lie superalgebras graded by finite root systems. In this paper, we study Leibniz algebras graded by finite root systems and obtain some results in simply-laced cases.",

keywords = "Steinberg Leibniz algebras, dialgebras, Δ-graded",

author = "Dong Liu and Naihong Hu",

year = "2010",

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language = "英语",

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AB - Several authors investigate Lie algebras and Lie superalgebras graded by finite root systems. In this paper, we study Leibniz algebras graded by finite root systems and obtain some results in simply-laced cases.

KW - Steinberg Leibniz algebras

KW - dialgebras

KW - Δ-graded

UR - https://www.scopus.com/pages/publications/77954361992

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DO - 10.1142/S1005386710000416

M3 - 文章

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SN - 1005-3867

VL - 17

SP - 431

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JO - Algebra Colloquium

JF - Algebra Colloquium

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Leibniz algebras graded by finite root systems

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