Higher categorical aspects of Hall Algebras

@article{Dyckerhoff2018HigherCA,
  title={Higher categorical aspects of Hall Algebras},
  author={Tobias Dyckerhoff},
  journal={arXiv: Category Theory},
  year={2018},
  pages={1-61}
}
  • Tobias Dyckerhoff
  • Published 2018
  • Mathematics
  • arXiv: Category Theory
  • This chapter contains extended notes for a series of lectures on Hall algebras given at the CRM Barcelona in February 2015. The basic idea of the theory of Hall algebras is that the collection of flags in an exact category encodes an associative multiplication law. While introduced by Steinitz and Hall for the category of abelian p-groups, it has since become clear that the original construction can be applied in much greater generality and admits numerous useful variations. These notes focus… CONTINUE READING
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