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A class of Lie algebras arising from intersection matrices

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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.

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Authors and Affiliations

  1. Faculty of Science, Jiangsu University, Zhenjiang, 212013, China

    Li-meng Xia

  2. Department of Mathematics, East China Normal University, Shanghai, 200241, China

    Naihong Hu

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  1. Li-meng Xia
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  2. Naihong Hu
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Correspondence to Li-meng Xia.

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Xia, Lm., Hu, N. A class of Lie algebras arising from intersection matrices. Front. Math. China 10, 185–198 (2015). https://doi.org/10.1007/s11464-014-0418-y

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  • DOI: https://doi.org/10.1007/s11464-014-0418-y

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