The size of a stratifying system can be arbitrarily large

DOI10.5802/crmath.385OpenAlexW3154685196MaRDI QIDQ2681057

Hipolito Treffinger

Publication date: 10 February 2023

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2102.02104

zbMATH Keywords

exceptional sequencestratifying systemhigher homological algebra

Mathematics Subject Classification ID

Grothendieck groups, (K)-theory, etc. (16E20) Homological functors on modules (Tor, Ext, etc.) in associative algebras (16E30)

Related Items

Morphisms and extensions between bricks over preprojective algebras of type A ⋮ Stratifying systems and \(g\)-vectors ⋮ Homological systems and bocses

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Stratifying systems over the hereditary path algebra with quiver \(\mathbb {A}_{p,q}\)
• Cluster tilting for higher Auslander algebras.
• Higher-dimensional cluster combinatorics and representation theory
• Stratifying systems through \(\tau\)-tilting theory
• Exceptional vector bundles on projective spaces
• Stratifying systems via relative simple modules.
• Exceptional sequences for canonical algebras
• Higher Nakayama algebras. I: Construction
• \(\tau\)-exceptional sequences
• Tilting modules and exceptional sequences for leaf quotients of type \(A\) zig-zag algebras
• Classification of higher wide subcategories for higher Auslander algebras of type \(A\)
• Exceptional sequences and spherical modules for the Auslander algebra of \(k[x/(x^t)\)]
• \(n\)-representation infinite algebras.
• REPRESENTATION OF ASSOCIATIVE ALGEBRAS AND COHERENT SHEAVES
• STRATIFYING SYSTEMS, FILTRATION MULTIPLICITIES AND SYMMETRIC GROUPS
• On Standardly Stratified Algebras
• Stratifying systems over hereditary algebras
• Stratifying Systems via Relative Projective Modules