Introduction to co-split lie algebras

Limeng Xia; Naihong Hu

doi:10.1007/s10468-009-9183-0

Introduction to co-split lie algebras

Limeng Xia
, Naihong Hu^*

^*Corresponding author for this work

School of Mathematical Sciences

Jiangsu University

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

3 Scopus citations

Abstract

In this work, we introduce a new concept which is obtained by defining a new compatibility condition between Lie algebras and Lie coalgebras. With this terminology, we describe the interrelation between the Killing form and the adjoint representation in a new perspective.

Original language	English
Pages (from-to)	191-199
Number of pages	9
Journal	Algebras and Representation Theory
Volume	14
Issue number	1
DOIs	https://doi.org/10.1007/s10468-009-9183-0
State	Published - Feb 2011

Keywords

Adjoint action
Co-split Lie algebra
Lie coalgebra

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title = "Introduction to co-split lie algebras",

abstract = "In this work, we introduce a new concept which is obtained by defining a new compatibility condition between Lie algebras and Lie coalgebras. With this terminology, we describe the interrelation between the Killing form and the adjoint representation in a new perspective.",

keywords = "Adjoint action, Co-split Lie algebra, Lie coalgebra",

author = "Limeng Xia and Naihong Hu",

year = "2011",

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KW - Adjoint action

KW - Co-split Lie algebra

KW - Lie coalgebra

UR - https://www.scopus.com/pages/publications/79951676083

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Introduction to co-split lie algebras

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