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Complex Lie algebras corresponding to weighted projective lines |
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| Authors: | Rujing Dou Jie Sheng Jie Xiao |
| Institution: | 1. Department of Mathematical Sciences, Tsinghua University, Beijing 100084, China; 2. Academy of Mathematics and Systems Science, Chinese Academy of Science, Beijing 100190, China |
| Abstract: | The aim of this paper is to give an alternative proof of Kac’s theorem for weighted projective lines over the complex field. The geometric realization of complex Lie algebras arising from derived categories is essentially used. |
| Keywords: | Weighted projective line coherent sheaf loop algebra Lie algebra |
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