Computing Ext algebras for finite groups (Q1369793)

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scientific article; zbMATH DE number 1077115
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Computing Ext algebras for finite groups
scientific article; zbMATH DE number 1077115

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    Computing Ext algebras for finite groups (English)
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    22 April 1998
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    Let \(G\) be a finite group, \(k\) a field of characteristic \(p>0\) and \(T\) the direct sum of irreducible \(kG\)-modules. The authors describe a program for computing the algebra \(\text{Ext}^\ast_{kG}(T,T)\) and write down a multiplication table for that algebra. Some comments and remarks on the scope and difficulties of the project conclude the paper.
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    cup products
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    Ext algebras
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    irreducible modules
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    simple \(kG\)-modules
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    Morita equivalence
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    projective covers
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    algorithms
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    multiplication tables
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