The spectrum of the singularity category of a category algebra

2018/03/26 by Ren Wang, Wang, Ren
Mathematics · #16D90 #16G10 #18E30 #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Representation Theory (math.RT)

paper · pdf · doi:10.48550/arxiv.1803.09439

openalex publication_date 2018/03/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Let \C be a finite projective EI category and k be a field. The singularity category of the category algebra k\C is a tensor triangulated category. We compute its spectrum in the sense of Balmer.

Related

• Spectra of tensor triangulated categories over category algebras
• Functors on triangulated tensor categories
• The homological spectrum via definable subcategories
• Extended canonical algebras and Fuchsian singularities
• Construction of spectra of triangulated categories without tensor structure and applications to commutative rings