A class of Lie algebras arising from intersection matrices

Li meng Xia; Naihong Hu

doi:10.1007/s11464-014-0418-y

A class of Lie algebras arising from intersection matrices

Li meng Xia^*
, Naihong Hu

^*此作品的通讯作者

数学科学学院

Jiangsu University

科研成果: 期刊稿件 › 文章 › 同行评审

4 引用（Scopus）

摘要

We find a class of Lie algebras, which are defined from the symmetrizable generalized intersection matrices. However, such algebras are different from generalized intersection matrix algebras and intersection matrix algebras. Moreover, such Lie algebras generated by semi-positive definite matrices can be classified by the modified Dynkin diagrams.

源语言	英语
页（从-至）	185-198
页数	14
期刊	Frontiers of Mathematics in China
卷	10
期	1
DOI	https://doi.org/10.1007/s11464-014-0418-y
出版状态	已出版 - 2015

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title = "A class of Lie algebras arising from intersection matrices",

abstract = "We find a class of Lie algebras, which are defined from the symmetrizable generalized intersection matrices. However, such algebras are different from generalized intersection matrix algebras and intersection matrix algebras. Moreover, such Lie algebras generated by semi-positive definite matrices can be classified by the modified Dynkin diagrams.",

keywords = "Intersection matrices, classification, extended affine Lie algebra, generator",

author = "Xia, \{Li meng\} and Naihong Hu",

note = "Publisher Copyright: {\textcopyright} 2015, Higher Education Press and Springer-Verlag Berlin Heidelberg.",

year = "2015",

doi = "10.1007/s11464-014-0418-y",

language = "英语",

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AU - Xia, Li meng

AU - Hu, Naihong

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N2 - We find a class of Lie algebras, which are defined from the symmetrizable generalized intersection matrices. However, such algebras are different from generalized intersection matrix algebras and intersection matrix algebras. Moreover, such Lie algebras generated by semi-positive definite matrices can be classified by the modified Dynkin diagrams.

AB - We find a class of Lie algebras, which are defined from the symmetrizable generalized intersection matrices. However, such algebras are different from generalized intersection matrix algebras and intersection matrix algebras. Moreover, such Lie algebras generated by semi-positive definite matrices can be classified by the modified Dynkin diagrams.

KW - Intersection matrices

KW - classification

KW - extended affine Lie algebra

KW - generator

UR - https://www.scopus.com/pages/publications/85028153822

U2 - 10.1007/s11464-014-0418-y

DO - 10.1007/s11464-014-0418-y

M3 - 文章

AN - SCOPUS:85028153822

SN - 1673-3452

VL - 10

SP - 185

EP - 198

JO - Frontiers of Mathematics in China

JF - Frontiers of Mathematics in China

IS - 1

ER -

A class of Lie algebras arising from intersection matrices

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