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arxiv: math/0611617 · v2 · submitted 2006-11-20 · 🧮 math.RT · math.QA

Lectures on Hall algebras

Olivier Schiffmann This is my paper
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keywords hallalgebrasalgebracategoriesclassicalcoherentcomecontext
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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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  1. Quiver Schur algebras and cohomological Hall algebras

    math.RT 2019-07 unverdicted novelty 6.0

    Quiver Schur algebras are realized as operator algebras on cohomological Hall algebras, with shuffle descriptions reinterpreted using Demazure operators, plus results on mixed versions and geometric realizations of mo...