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A class of Lie algebras arising from intersection matrices |
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| Authors: | Li-meng XIA Naihong HU |
| Affiliation: | 1. Faculty of Science, Jiangsu University, Zhenjiang 212013, China2. Department of Mathematics, East China Normal University, Shanghai 200241, China |
| 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 extended affine Lie algebra generator classification |
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