On \(\tau\)-tilting finiteness of block algebras of direct products of finite groups (Q6100758)
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scientific article; zbMATH DE number 7700390
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On \(\tau\)-tilting finiteness of block algebras of direct products of finite groups |
scientific article; zbMATH DE number 7700390 |
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On \(\tau\)-tilting finiteness of block algebras of direct products of finite groups (English)
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22 June 2023
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The support \(\tau\)-tilting modules are in bijection with many representation theoretical objects such as two-term silting complexes, functorially finite torsion classes, left finite semibricks, \(t\)-structures, etc. Y. Kozakai discusses finiteness and infiniteness of \(\tau\)-tilting modules over tensor products of two symmetric algebras over an algebraically closed field. As an application, the author also considers block algebras of direct products of finite groups.
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\(\tau\)-tilting finiteness
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block algebras of finite groups
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tensor products of symmetric algebras
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