Finite-dimensional algebras not arising as blocks of group algebras (Q6123165)
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scientific article; zbMATH DE number 7812396
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Finite-dimensional algebras not arising as blocks of group algebras |
scientific article; zbMATH DE number 7812396 |
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Finite-dimensional algebras not arising as blocks of group algebras (English)
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4 March 2024
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The authors improve on earlier results of Linckelmann, Murphy and the second author. Using Auslander-Reiten theory, in Theorem 1.3, they classify blocks (of finite group algebras over algebraically closed fields of prime characteristic) whose basic algebra is \(16\)-dimensional.
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block theory
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Cartan matrix
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basic algebra
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Auslander-Reiten theory
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