Derived tame Nakayama algebras
Viktor Bekkert, Hernan Giraldo, Jose A. Velez-Marulanda
TL;DR
This paper classifies the derived representation types of Nakayama algebras, showing that derived tame cases are either gentle or skewed-gentle, and determines their singularity categories.
Contribution
It provides a complete classification of derived tame Nakayama algebras and links their properties to gentle and skewed-gentle algebras.
Findings
Derived tame Nakayama algebras are gentle or skewed-gentle.
The singularity category of these algebras is explicitly determined.
A characterization of Nakayama algebras without simple projective modules.
Abstract
We determine the derived representation type of Nakayama algebras and prove that a derived tame Nakayama algebra without simple projective module is gentle or derived equivalent to some skewed-gentle algebra, and as a consequence, we determine its singularity category.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.