Frontiers of Mathematics in China >
Complex Lie algebras corresponding to weighted projective lines
Received date: 26 Mar 2010
Accepted date: 02 Jun 2010
Published date: 01 Aug 2011
Copyright
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.
Key words： Weighted projective line; coherent sheaf; loop algebra; Lie algebra
Rujing DOU , Jie SHENG , Jie XIAO . Complex Lie algebras corresponding to weighted projective lines[J]. Frontiers of Mathematics in China, 2011 , 6(4) : 629 -639 . DOI: 10.1007/s11464-010-0070-0
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