Simplicial structures in higher Auslander-Reiten theory

DOI10.1016/j.aim.2019.106762zbMath1471.16027arXiv1811.02461OpenAlexW2900255252WikidataQ127355510 ScholiaQ127355510MaRDI QIDQ2274026

Gustavo Jasso, Tobias Dyckerhoff, Tashi Walde

Publication date: 19 September 2019

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1811.02461

zbMATH Keywords

tiltingDold-Kan correspondencehigher Auslander algebrashigher Segal spaces

Mathematics Subject Classification ID

Auslander-Reiten sequences (almost split sequences) and Auslander-Reiten quivers (16G70) Abelian categories, Grothendieck categories (18E10) Algebraic (K)-theory and (L)-theory (category-theoretic aspects) (18F25)

Related Items (12)

Higher Segal spaces via higher excision ⋮ New interpretations of the higher Stasheff-Tamari orders ⋮ A categorified Dold-Kan correspondence ⋮ Axiomatizing subcategories of abelian categories ⋮ Serre functors and graded categories ⋮ The category of finite strings ⋮ Classification results for \(n\)-hereditary monomial algebras ⋮ Higher Nakayama algebras. I: Construction ⋮ Higher symmetries in abstract stable homotopy theories ⋮ Higher Auslander algebras of type 𝔸 and the higher Waldhausen 𝖲-constructions ⋮ THE COMBINATORICS OF TENSOR PRODUCTS OF HIGHER AUSLANDER ALGEBRAS OF TYPEA ⋮ The symplectic geometry of higher Auslander algebras: Symmetric products of disks

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