Hall代数讲义
Lectures on Hall algebras
摘要:
这些是2006年1月的里雅斯特国际理论物理中心关于霍尔代数的一个微型课程的笔记。在给出Hall代数的定义和第一性质之后,我们详细研究了光滑射影曲线上的经典Hall代数、箭图的Hall代数和凝聚层的Hall代数。最后一节讨论了导出范畴中的Hall代数。(The数字似乎只能在.ps文件中很好地显示出来)
英文摘要:
These are notes for a minicourse on Hall algebras given at the ICTP in Trieste in January 2006. After giving the definition and first properties of Hall algebras, we study in some details the classical Hall algebra, the Hall algebra of quivers, and the Hall algebra of coherent sheaves on smooth projective curves. The last section deals with the Hall algebras in the context of derived categories. (The figures only seem to come out nicely in the .ps file)
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