Semistable torsion classes and canonical decompositions in Grothendieck groups

Grothendieck groups, (K)-theory, etc. (16E20) Representations of associative Artinian rings (16G10) Torsion theories; radicals on module categories (associative algebraic aspects) (16S90)

Cites Work

Unnamed Item
Unnamed Item
Unnamed Item
Affine Mirković-Vilonen polytopes
The combinatorics of quiver representations.
Classification of two-term tilting complexes over Brauer graph algebras
Maps between tree and band modules
Tame biserial algebras
Infinite root systems, representations of graphs and invariant theory
Almost split sequences in subcategories
Geometric construction of crystal bases
Stability for an abelian category
Wide subcategories are semistable
Faithful actions from hyperplane arrangements
A reduction theorem for $\tau$-rigid modules
Maps between representations of zero-relation algebras
Tilting-connected symmetric algebras.
On $\tau$-tilting finiteness of the Schur algebra
Classifying $\tau$-tilting modules over the Auslander algebra of $K[x/(x^n)$]
The tilting theory of contraction algebras
Schemes of modules over gentle algebras and laminations of surfaces
On the module categories of generalized preprojective algebras of Dynkin type
Tilting modules and support $\tau $-tilting modules over preprojective algebras associated with symmetrizable Cartan matrices
Simplicial complexes and tilting theory for Brauer tree algebras
$ \tau $-tilting finite gentle algebras are representation-finite
Wall and chamber structure for finite-dimensional algebras
General presentations of algebras
Silting objects, simple-minded collections, $t$-structures and co-$t$-structures for finite-dimensional algebras.
Classifying $\tau$-tilting modules over preprojective algebras of Dynkin type
The wall-chamber structures of the real Grothendieck groups
On band modules and $\tau $-tilting finiteness
Cluster algebras I: Foundations
Silting Modules
Ordered Exchange Graphs
Linear independence of cluster monomials for skew-symmetric cluster algebras
Silting mutation in triangulated categories
Combinatorics of Coxeter Groups
Cluster structures for 2-Calabi–Yau categories and unipotent groups
On the Combinatorics of Rigid Objects in 2-Calabi-Yau Categories
Fomin-Zelevinsky mutation and tilting modules over Calabi-Yau algebras
Quivers with potentials and their representations II: Applications to cluster algebras
Torsion Theories and Tilting Modules
Auslander-reiten sequences with few middle terms and applications to string algebrass
Morita Theory for Derived Categories
On Tame Algebras and Bocses
General Representations of Quivers
MODULI OF REPRESENTATIONS OF FINITE DIMENSIONAL ALGEBRAS
An Introduction to Quiver Representations
Scattering diagrams, Hall algebras and stability conditions
Discreteness of silting objects and t-structures in triangulated categories
Irreducible components of varieties of modules
Tilting in abelian categories and quasitilted algebras
Semi-invariants of quivers and saturation for Littlewood-Richardson coefficients
Report on the finiteness of silting objects
Two-term tilting complexes for preprojective algebras of non-Dynkin type
τ-Tilting finite cluster-tilted algebras
Semibricks
A characterisation of 𝜏-tilting finite algebras
$\boldsymbol{\tau}$ -Tilting Finite Algebras, Bricks, and $\boldsymbol{g}$-Vectors
Generic Bases for Cluster Algebras From the Cluster Category
-tilting theory
A 𝜏-tilting approach to the first Brauer-Thrall conjecture
MINIMAL (-)TILTING INFINITE ALGEBRAS
Tame Algebras Have Dense g-Vector Fans
Lattice theory of torsion classes: Beyond 𝜏-tilting theory
Combinatorics of F-Polynomials
Tropical F$F$‐polynomials and general presentations
Schurian‐finiteness of blocks of type A$A$ Hecke algebras
Tilting and Silting Theory of Noetherian Algebras
Stability spaces of string and band modules
$ \tau $-tilting finiteness of biserial algebras
Classifying subcategories of modules over Noetherian algebras