Minimal inclusions of torsion classes

DOI10.5802/alco.72zbMath1428.05314arXiv1710.08837OpenAlexW2979682500WikidataQ127156284 ScholiaQ127156284MaRDI QIDQ2328139

Shijie Zhu, Emily Barnard, Andrew T. Carroll

Publication date: 9 October 2019

Published in: Algebraic Combinatorics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1710.08837

zbMATH Keywords

torsion classeslatticescanonical join representations

Mathematics Subject Classification ID

Combinatorial aspects of representation theory (05E10) Representation theory of lattices (06B15) Representations of associative Artinian rings (16G10)

Related Items (23)

Intervals of s-torsion pairs in extriangulated categories with negative first extensions ⋮ On maximal Green sequences in abelian length categories ⋮ The wall-chamber structures of the real Grothendieck groups ⋮ An introduction to the lattice of torsion classes ⋮ Lattice theory of torsion classes: Beyond 𝜏-tilting theory ⋮ Stability conditions and maximal green sequences in abelian categories ⋮ Relative left Bongartz completions and their compatibility with mutations ⋮ -PERPENDICULAR WIDE SUBCATEGORIES ⋮ Morphisms and extensions between bricks over preprojective algebras of type A ⋮ From the lattice of torsion classes to the posets of wide subcategories and ICE-closed subcategories ⋮ Wide subcategories and lattices of torsion classes ⋮ Bricks over preprojective algebras and join-irreducible elements in Coxeter groups ⋮ Pairwise compatibility for 2-simple minded collections ⋮ Lattice bijections for string modules, snake graphs and the weak Bruhat order ⋮ Dynamical combinatorics and torsion classes ⋮ The canonical join complex of the Tamari lattice ⋮ The fundamental theorem of finite semidistributive lattices ⋮ A survey on maximal green sequences ⋮ Arc diagrams and 2-term simple-minded collections of preprojective algebras of type \(A\) ⋮ Pairwise compatibility for 2-simple minded collections. II: Preprojective algebras and semibrick pairs of full rank ⋮ τ-Cluster morphism categories and picture groups ⋮ A BRICK VERSION OF A THEOREM OF AUSLANDER ⋮ MINIMAL (-)TILTING INFINITE ALGEBRAS

Cites Work

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• $\boldsymbol{\tau}$ -Tilting Finite Algebras, Bricks, and $\boldsymbol{g}$-Vectors
• Noncrossing Arc Diagrams and Canonical Join Representations
• -tilting theory
• Lattice structure of torsion classes for path algebras

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