Weak orders on symmetric groups and posets of support τ-tilting modules

DOI10.1142/S0218196717500266zbMath1384.16011arXiv1605.05062OpenAlexW2963520554MaRDI QIDQ5365325

Ryoichi Kase

Publication date: 6 October 2017

Published in: International Journal of Algebra and Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1605.05062

zbMATH Keywords

symmetric groupsilting complexrepresentation of quiverssupport \(\tau\)-tilting modulesupport \(\tau\)-tilting poset

Mathematics Subject Classification ID

Partial orders, general (06A06) Representations of quivers and partially ordered sets (16G20) Symmetric groups (20B30)

Related Items (4)

On support \(\tau\)-tilting modules over blocks covering cyclic blocks ⋮ Lattice theory of torsion classes: Beyond 𝜏-tilting theory ⋮ Morphisms and extensions between bricks over preprojective algebras of type A ⋮ Three results for \(\tau\)-rigid modules

Cites Work

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• Model algebras and representations of graphs
• On a simplicial complex associated with tilting modules
• Tilting modules over Auslander-Gorenstein algebras
• On the quiver of tilting modules.
• A reduction theorem for \(\tau\)-rigid modules
• Classifying \(\tau\)-tilting modules over preprojective algebras of Dynkin type
• Preprojective algebras and c -sortable words
• Silting mutation in triangulated categories
• Reduction of τ-Tilting Modules and Torsion Pairs
• Combinatorics of Coxeter Groups
• Cluster structures for 2-Calabi–Yau categories and unipotent groups
• Reconstruction of path algebras from their posets of tilting modules
• The preprojective algebra of a tame hereditary artin algebra
• Morita Theory for Derived Categories
• Tilted Algebras
• Lattice structure of Weyl groups via representation theory of preprojective algebras
• Quotient closed subcategories of quiver representations
• -tilting theory

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