On support \(\tau\)-tilting modules over blocks covering cyclic blocks

DOI10.1016/j.jalgebra.2021.03.021zbMath1473.16007arXiv2004.12021OpenAlexW3145911068MaRDI QIDQ831283

Yuta Kozakai, Ryotaro Koshio

Publication date: 11 May 2021

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2004.12021

zbMATH Keywords

blocks of finite groupsinduction functorssupport \(\tau\)-tilting modulescyclic blockstwo-term tilting complexes

Mathematics Subject Classification ID

Modular representations and characters (20C20) Representations of associative Artinian rings (16G10)

Related Items (6)

On tilting complexes over blocks covering cyclic blocks ⋮ A construction of Gorenstein projective $\tau $-tilting modules ⋮ Induced modules of support \(\tau\)-tilting modules and extending modules of semibricks over blocks of finite groups ⋮ On the number of tilting modules over a class of Auslander algebras ⋮ Support \(\tau\)-tilting modules and semibricks over group graded algebras ⋮ On \(\tau\)-tilting finiteness of block algebras of direct products of finite groups

Cites Work

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• Silting objects, simple-minded collections, \(t\)-structures and co-\(t\)-structures for finite-dimensional algebras.
• Ordered Exchange Graphs
• Silting mutation in triangulated categories
• The Block Theory of Finite Group Algebras
• Semibricks
• Brauer Graph Algebras
• Weak orders on symmetric groups and posets of support τ-tilting modules
• -tilting theory
• The classification of \(\tau\)-tilting modules over Nakayama algebras
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