Lattice properties of oriented exchange graphs and torsion classes

DOI10.1007/s10468-017-9757-1zbMath1408.16011arXiv1507.04268OpenAlexW3106212406MaRDI QIDQ1737219

Alexander Garver, Thomas McConville

Publication date: 27 March 2019

Published in: Algebras and Representation Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1507.04268

zbMATH Keywords

latticetorsion classquiver mutationexchange graph

Mathematics Subject Classification ID

Combinatorial aspects of representation theory (05E10) Torsion theories, radicals (18E40) Auslander-Reiten sequences (almost split sequences) and Auslander-Reiten quivers (16G70) Representations of quivers and partially ordered sets (16G20)

Related Items (16)

Non-kissing complexes for gentle algebras ⋮ New interpretations of the higher Stasheff-Tamari orders ⋮ An introduction to the lattice of torsion classes ⋮ Lattice theory of torsion classes: Beyond 𝜏-tilting theory ⋮ Semidistrim Lattices ⋮ Lengths of maximal green sequences for tame path algebras ⋮ Oriented Flip Graphs and Noncrossing Tree Partitions ⋮ Dynamical combinatorics and torsion classes ⋮ The positive geometry for \(\varphi^p\) interactions ⋮ The canonical join complex for biclosed sets ⋮ A categorification of biclosed sets of strings ⋮ ORIENTED FLIP GRAPHS, NONCROSSING TREE PARTITIONS, AND REPRESENTATION THEORY OF TILING ALGEBRAS ⋮ The fundamental theorem of finite semidistributive lattices ⋮ A survey on maximal green sequences ⋮ Minimal inclusions of torsion classes ⋮ Pairwise compatibility for 2-simple minded collections. II: Preprojective algebras and semibrick pairs of full rank

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