Lectures on Hall algebras
Representation Theory
2009-10-23 v2 Quantum Algebra
Abstract
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)
Cite
@article{arxiv.math/0611617,
title = {Lectures on Hall algebras},
author = {Olivier Schiffmann},
journal= {arXiv preprint arXiv:math/0611617},
year = {2009}
}
Comments
128 pages, loads of figures; Minor revisions