Heisenberg lie color algebras

Hengyun Yang; Naihong Hu

doi:10.1080/00927872.2010.480950

Heisenberg lie color algebras

Hengyun Yang^*
, Naihong Hu

^*Corresponding author for this work

School of Mathematical Sciences

Shanghai Maritime University

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

5 Scopus citations

Abstract

In this article, we give a sufficient condition for a Lie color algebra to be complete. The color derivation algebra Der(H) and the holomorph L of finite dimensional Heisenberg Lie color algebra H graded by a torsion-free abelian group over an algebraically closed field of characteristic zero are determined. We prove that Der(H) and Der(L) are simple complete Lie color algebras, but L is not a complete Lie color algebra.

Original language	English
Pages (from-to)	1782-1795
Number of pages	14
Journal	Communications in Algebra
Volume	39
Issue number	5
DOIs	https://doi.org/10.1080/00927872.2010.480950
State	Published - May 2011

Keywords

Color derivation
Complete lie color algebras
Heisenberg lie color algebras
Simple lie color algebras

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10.1080/00927872.2010.480950

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title = "Heisenberg lie color algebras",

abstract = "In this article, we give a sufficient condition for a Lie color algebra to be complete. The color derivation algebra Der(H) and the holomorph L of finite dimensional Heisenberg Lie color algebra H graded by a torsion-free abelian group over an algebraically closed field of characteristic zero are determined. We prove that Der(H) and Der(L) are simple complete Lie color algebras, but L is not a complete Lie color algebra.",

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author = "Hengyun Yang and Naihong Hu",

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AU - Hu, Naihong

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AB - In this article, we give a sufficient condition for a Lie color algebra to be complete. The color derivation algebra Der(H) and the holomorph L of finite dimensional Heisenberg Lie color algebra H graded by a torsion-free abelian group over an algebraically closed field of characteristic zero are determined. We prove that Der(H) and Der(L) are simple complete Lie color algebras, but L is not a complete Lie color algebra.

KW - Color derivation

KW - Complete lie color algebras

KW - Heisenberg lie color algebras

KW - Simple lie color algebras

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DO - 10.1080/00927872.2010.480950

M3 - 文章

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JO - Communications in Algebra

JF - Communications in Algebra

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ER -

Heisenberg lie color algebras

Abstract

Keywords

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