From the lattice of torsion classes to the posets of wide subcategories and ICE-closed subcategories
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Publication:6146916
DOI10.1007/s10468-023-10214-0arXiv2201.00595OpenAlexW4380433887MaRDI QIDQ6146916
Publication date: 15 January 2024
Published in: Algebras and Representation Theory (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2201.00595
torsion classwide subcategorycore label orderICE-closed subcategorycompletely semidistributive latticeKappa order
Combinatorial aspects of representation theory (05E10) Torsion theories, radicals (18E40) Combinatorics of partially ordered sets (06A07) Representations of associative Artinian rings (16G10)
Cites Work
- Unnamed Item
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- Noncrossing partitions and the shard intersection order
- The canonical join complex
- Oriented flip graphs of polygonal subdivisions and noncrossing tree partitions
- Canonical decompositions in complete lattices
- Varieties of lattices
- Representations of K-species and bimodules
- The core label order of a congruence-uniform lattice
- Dynamical combinatorics and torsion classes
- The fundamental theorem of finite semidistributive lattices
- Torsion pairs and quasi-abelian categories
- Rigid modules and ICE-closed subcategories in quiver representations
- ICE-closed subcategories and wide \(\tau \)-tilting modules
- Tilting modules and support \(\tau \)-tilting modules over preprojective algebras associated with symmetrizable Cartan matrices
- A categorification of biclosed sets of strings
- Minimal inclusions of torsion classes
- Quivers with relations for symmetrizable Cartan matrices. I: Foundations
- Cambrian lattices.
- Classifying \(\tau\)-tilting modules over preprojective algebras of Dynkin type
- Taking tilting modules from the poset of support tilting modules.
- An introduction to the lattice of torsion classes
- Classes of Semidistributive Lattices
- Lattice Theory of the Poset of Regions
- The Catalan combinatorics of the hereditary artin algebras
- Noncrossing partitions and representations of quivers
- Stability, shards, and preprojective algebras
- ORIENTED FLIP GRAPHS, NONCROSSING TREE PARTITIONS, AND REPRESENTATION THEORY OF TILING ALGEBRAS
- $\boldsymbol{\tau}$ -Tilting Finite Algebras, Bricks, and $\boldsymbol{g}$-Vectors
- Torsion classes, wide subcategories and localisations
- -tilting theory
- The canonical join complex for biclosed sets
- Lattice theory of torsion classes: Beyond 𝜏-tilting theory
- Wide subcategories and lattices of torsion classes
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