Lattice theory of torsion classes: Beyond 𝜏-tilting theory

DOI10.1090/btran/100arXiv1711.01785MaRDI QIDQ6044583

Nathan Reading, Idun Reiten, Hugh Thomas, Laurent Demonet, Osamu Iyama

Publication date: 22 May 2023

Published in: Transactions of the American Mathematical Society, Series B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1711.01785

zbMATH Keywords

\(\tau\)-tilting theorylattice congruences

Mathematics Subject Classification ID

Combinatorics of partially ordered sets (06A07) Reflection and Coxeter groups (group-theoretic aspects) (20F55) Representations of associative Artinian rings (16G10)

Related Items (14)

Mutating signed -exceptional sequences ⋮ Relative left Bongartz completions and their compatibility with mutations ⋮ -PERPENDICULAR WIDE SUBCATEGORIES ⋮ On \(\tau\)-tilting finiteness of block algebras of direct products of finite groups ⋮ Celebrating Loday's associahedron ⋮ 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 ⋮ Semidistrim Lattices ⋮ Wide subcategories and lattices of torsion classes ⋮ \( \tau \)-tilting finiteness of biserial algebras ⋮ Coxeter-bicatalan combinatorics ⋮ ORIENTED FLIP GRAPHS, NONCROSSING TREE PARTITIONS, AND REPRESENTATION THEORY OF TILING ALGEBRAS ⋮ Three results for \(\tau\)-rigid modules ⋮ Simplicial complexes and tilting theory for Brauer tree algebras

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