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Lectures on Hall algebras

表示论 2009-10-23 v2 量子代数

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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引用

@article{arxiv.math/0611617,
  title  = {Lectures on Hall algebras},
  author = {Olivier Schiffmann},
  journal= {arXiv preprint arXiv:math/0611617},
  year   = {2009}
}

备注

128 pages, loads of figures; Minor revisions