English

A geometric approach to Hall algebras I: Higher Associativity

Representation Theory 2016-12-06 v1 Category Theory

Abstract

We construct a geometric system from which the Hall algebra can be recovered. This system inherently satisfies higher associativity conditions and thus leads to a categorification of the Hall algebra. We then suggest how to use this approach to construct categorified representations.

Keywords

Cite

@article{arxiv.1611.09140,
  title  = {A geometric approach to Hall algebras I: Higher Associativity},
  author = {Adam Gal and Elena Gal},
  journal= {arXiv preprint arXiv:1611.09140},
  year   = {2016}
}