Homology of complexes over finite tensor categories

  • Petter Andreas Bergh

    NTNU, Trondheim, Norway
Homology of complexes over finite tensor categories cover

A subscription is required to access this article.

Abstract

We generalize a recent result by J. F. Carlson to finite tensor categories having finitely generated cohomology. Specifically, we show that if the Krull dimension of the cohomology ring is sufficiently large, then there exist infinitely many non-isomorphic and nontrivial bounded complexes of projective objects, and with small homology. We also prove a version for finite dimensional algebras with finitely generated cohomology.

Cite this article

Petter Andreas Bergh, Homology of complexes over finite tensor categories. J. Noncommut. Geom. (2024), published online first

DOI 10.4171/JNCG/564