Journal
FRONTIERS OF MATHEMATICS IN CHINA
Volume 10, Issue 1, Pages 185-198Publisher
HIGHER EDUCATION PRESS
DOI: 10.1007/s11464-014-0418-y
Keywords
Intersection matrices; extended affine Lie algebra; generator; classification
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Funding
- National Natural Science Foundation of China [11001110, 11271131]
- Jiangsu Government Scholarship for Overseas Studies
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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.
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