Report on the finiteness of silting objects

DOI10.1017/S0013091521000109zbMath1505.16013arXiv2002.08534MaRDI QIDQ4999885

Kengo Miyamoto, Takuma Aihara, Takahiro Honma, Qi Wang

Publication date: 5 July 2021

Published in: Proceedings of the Edinburgh Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2002.08534

zbMATH Keywords

silting objectsupport \(\tau\)-tilting module\(\tau\)-tilting-finite

Mathematics Subject Classification ID

Representation type (finite, tame, wild, etc.) of associative algebras (16G60) Representations of quivers and partially ordered sets (16G20)

Related Items (4)

A symmetry of silting quivers ⋮ On \(\tau\)-tilting finiteness of block algebras of direct products of finite groups ⋮ Schurian‐finiteness of blocks of type A$A$ Hecke algebras ⋮ On \(\tau\)-tilting finiteness of the Schur algebra

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Classification of two-term tilting complexes over Brauer graph algebras
• Tame algebras and integral quadratic forms
• Minimal algebras of infinite representation type with preprojective component
• Representation-finite trivial extension algebras
• Quadratic forms and iterated tilted algebras
• Derived equivalences for tame weakly symmetric algebras having only periodic modules.
• On tame weakly symmetric algebras having only periodic modules.
• A reduction theorem for \(\tau\)-rigid modules
• Socle deformations of selfinjective algebras of tubular type.
• \( \tau \)-tilting finite gentle algebras are representation-finite
• Classifying tilting complexes over preprojective algebras of Dynkin type
• Classifying \(\tau\)-tilting modules over preprojective algebras of Dynkin type
• Cycle-Finite Algebras with Finitely Many τ-Rigid Indecomposable Modules
• Characterizing 𝜏-tilting finite algebras with radical square zero
• Silting mutation in triangulated categories
• On Triangular Matrix Rings of Finite Representation Type
• Minimal representation-infinite artin algebras
• Quasitilted algebras admit a preprojective component
• Silting reduction and Calabi–Yau reduction of triangulated categories
• The completely separating incidence algebras of tame representation type
• τ-Tilting finite cluster-tilted algebras
• -tilting theory
• Tilting Sets on Cylinders
• Persistence modules on commutative ladders of finite type
• The classification of \(\tau\)-tilting modules over Nakayama algebras

This page was built for publication: Report on the finiteness of silting objects