Algebra and geometry: Quivers for semigroup algebras of binary relations of small rank

  • Date: –17:00
  • Location: Zoom link: https://uu-se.zoom.us/j/340738520 Meeting ID: 340 738 520
  • Lecturer: Alejandra Camila Perez (Uppsala)
  • Organiser: Matematiska institutionen
  • Contact person: Volodymyr Mazorchuk
  • Seminarium

This is a presentation of a master thesis.

 

The set B_n of binary relations over a finite set of cardinality n admits a natural structure of a monoid. We describe Green's relations of that monoid and classify the irreducible finite-dimensional representations of B_n for n=2,3 using Clifford-Munn-Ponizovskii theory. We also find a bound quiver algebra Morita equivalent to kB_2 and kB_3 and study its dependence on the characteristic of the underlying field k.