Lectures on Hall algebras

Details Lectures on Hall algebras Lectures on Hall algebras

2006-11-20

arxiv.org/abs/math/0611617v2

Mathematics

Representation Theory

128 pages, loads of figures; Minor revisions

Scientific paper

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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