THE COMBINATORICS OF TENSOR PRODUCTS OF HIGHER AUSLANDER ALGEBRAS OF TYPEA
From MaRDI portal
Publication:5009400
DOI10.1017/S0017089520000361zbMath1473.13021arXiv2001.06662OpenAlexW3045623144MaRDI QIDQ5009400
Jordan McMahon, Nicholas Williams
Publication date: 23 August 2021
Published in: Glasgow Mathematical Journal (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2001.06662
Combinatorial aspects of representation theory (05E10) Auslander-Reiten sequences (almost split sequences) and Auslander-Reiten quivers (16G70) Grassmannians, Schubert varieties, flag manifolds (14M15) Projectives and injectives (category-theoretic aspects) (18G05) Cluster algebras (13F60)
Related Items
The first higher Stasheff-Tamari orders are quotients of the higher Bruhat orders, Preprojective algebras of \(d\)-representation finite species with relations
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- \(n\)-abelian and \(n\)-exact categories
- Lecture notes on cluster algebras
- Dominant dimensions, derived equivalences and tilting modules
- On maximal weakly separated set-systems
- Cluster tilting for higher Auslander algebras.
- Higher-dimensional cluster combinatorics and representation theory
- \(n\mathbb{Z}\)-Gorenstein cluster tilting subcategories
- Cluster categories for algebras of global dimension 2 and quivers with potential.
- Higher-dimensional Auslander-Reiten theory on maximal orthogonal subcategories.
- Auslander correspondence.
- Partial flag varieties and preprojective algebras.
- Tilting modules of finite projective dimension
- Cluster algebras. II: Finite type classification
- On minimal Auslander-Gorenstein algebras and standardly stratified algebras
- Auslander-Gorenstein algebras and precluster tilting
- Tensor products of \(n\)-complete algebras
- Auslander-Reiten \((d + 2)\)-angles in subcategories and a \((d + 2)\)-angulated generalisation of a theorem by Brüning
- Unwinding the amplituhedron in binary
- \(d\)-abelian quotients of \((d+2)\)-angulated categories
- The periodicity conjecture for pairs of Dynkin diagrams
- Fabric idempotents and higher Auslander-Reiten theory
- Higher Nakayama algebras. I: Construction
- Cotorsion torsion triples and the representation theory of filtered hierarchical clustering
- Self-injective Jacobian algebras from Postnikov diagrams
- Quasi-hereditary covers of higher zigzag algebras of type \(A\)
- Algebras with finite relative dominant dimension and almost \(n\)-precluster tilting modules
- Every 1D persistence module is a restriction of some indecomposable 2D persistence module
- The weak separation in higher dimensions
- Simplicial structures in higher Auslander-Reiten theory
- Discrete Morse theory for computing zigzag persistence
- \(d\)-representation-finite self-injective algebras
- Dominant dimension and tilting modules
- Quasi-commuting families of quantum minors
- Links in the complex of weakly separated collections
- Internally Calabi-Yau algebras and cluster-tilting objects
- Higher zigzag algebras
- Stable categories of higher preprojective algebras.
- \(n\)-representation infinite algebras.
- Plabic graphs and zonotopal tilings
- Twists of Plücker coordinates as dimer partition functions
- Cluster algebras I: Foundations
- A categorification of Grassmannian cluster algebras
- Dimer models and cluster categories of Grassmannians
- n -representation-finite algebras and twisted fractionally Calabi-Yau algebras
- Deformed Calabi–Yau completions
- Fukaya categories and bordered Heegaard-Floer homology
- $n$-representation-finite algebras and $n$-APR tilting
- Selfinjective quivers with potential and 2-representation-finite algebras
- GRASSMANNIANS AND CLUSTER ALGEBRAS
- MORSE REDUCTION FOR ZIGZAG COMPLEXES
- Ortho-symmetric Modules, Gorenstein Algebras, and Derived Equivalences
- An introduction to higher Auslander-Reiten theory
- Dimer models on cylinders over Dynkin diagrams and cluster algebras
- Higher preprojective algebras, Koszul algebras, and superpotentials
- CLUSTER CATEGORIES FROM GRASSMANNIANS AND ROOT COMBINATORICS
- Parity duality for the amplituhedron
- Cluster structures in Schubert varieties in the Grassmannian
- Wide subcategories of 𝑑-cluster tilting subcategories
- The $m=1$ Amplituhedron and Cyclic Hyperplane Arrangements
- Weak separation and plabic graphs
- Auslander algebras and initial seeds for cluster algebras
- Cluster-tilted algebras as trivial extensions
- On Generalized Cluster Categories
- The symplectic geometry of higher Auslander algebras: Symmetric products of disks
- Persistence modules on commutative ladders of finite type
