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

^*Corresponding author for this work

School of Mathematical Sciences

Huzhou University

Research output: Contribution to journal › Article › peer-review

4 Scopus citations

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.

Original language	English
Pages (from-to)	431-446
Number of pages	16
Journal	Algebra Colloquium
Volume	17
Issue number	3
DOIs	https://doi.org/10.1142/S1005386710000416
State	Published - Sep 2010

Keywords

Steinberg Leibniz algebras
dialgebras
Δ-graded

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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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doi = "10.1142/S1005386710000416",

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pages = "431--446",

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AU - Hu, Naihong

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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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VL - 17

SP - 431

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JO - Algebra Colloquium

JF - Algebra Colloquium

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ER -

Leibniz algebras graded by finite root systems

Abstract

Keywords

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