Complex Lie algebras corresponding to weighted projective lines

2010/04/01 by Rujing Dou, Jie Sheng, Dou, Rujing +3
Mathematics · #Advanced Algebra and Geometry #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Representation Theory (math.RT) #math.RT

paper · pdf · doi:10.48550/arxiv.1004.0080

8 pages

arxiv created 2010/04/01 · openalex publication_date 2010/04/01 · arxiv updated 2010/04/02 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The aim of this paper is to give an alternative proof of Kac's theorem for weighted projective lines (\citeW) over the complex field. The geometric realization of complex Lie algebras arising from derived categories (\citeXXZ) is essentially used.

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• Kac's Theorem for weighted projective lines
• Quiver algebras, weighted projective lines, and the Deligne-Simpson problem
• Three-point Lie algebras and Grothendieck's dessins d'enfants
• Constructing Graded Lie Algebras
• Weighted projective lines and Riemann surfaces