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A class of Lie algebras arising from intersection matrices

A class of Lie algebras arising from intersection matrices
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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. 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.
出处 《Frontiers of Mathematics in China》 SCIE CSCD 2015年第1期185-198,共14页 中国高等学校学术文摘·数学(英文)
关键词 Intersection matrices extended affine Lie algebra generator classification Intersection matrices, extended affine Lie algebra, generator,classification
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