Algebra och geometri: Global dimension of (higher) Nakayama algebras

  • Datum: –16.15
  • Plats: Zoom link: https://uu-se.zoom.us/j/340738520 Meeting ID: 340 738 520
  • Föreläsare: Sandra Berg (Uppsala)
  • Arrangör: Matematiska institutionen
  • Kontaktperson: Volodymyr Mazorchuk
  • Seminarium

In this thesis we look at bounded Nakayama algebra A for an acyclic  quiver Q in the form of a line.

Furthermore we consider their higher dimensional analogues of the form A^d_n introduced by Jasso and Kuelshammer following  Iyama's higher Auslander-Reiten theory.

In particular, we restrict the algebras and consider the special form of higher Nakayama algebras A^d_l, for the Kupisch series l={1,2,\dots} as bounded version of the algebra. We reprove Vaso's formula for the classical Nakayama algebras and from this develop a formula for the projective dimension of higher Nakayama algebras of the form A^d_l.