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

^*Corresponding author for this work

School of Mathematical Sciences

Jiangsu University

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

4 Scopus citations

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.

Original language	English
Pages (from-to)	185-198
Number of pages	14
Journal	Frontiers of Mathematics in China
Volume	10
Issue number	1
DOIs	https://doi.org/10.1007/s11464-014-0418-y
State	Published - 2015

Keywords

Intersection matrices
classification
extended affine Lie algebra
generator

Access to Document

10.1007/s11464-014-0418-y

Cite this

@article{b128c7c7da7e4bfdb04ebfebf906a1a1,

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",

volume = "10",

pages = "185--198",

journal = "Frontiers of Mathematics in China",

issn = "1673-3452",

publisher = "Higher Education Press Limited Company",

number = "1",

}

TY - JOUR

T1 - A class of Lie algebras arising from intersection matrices

AU - Xia, Li meng

AU - Hu, Naihong

PY - 2015

Y1 - 2015

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

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this