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Representation dimension of exterior algebras

Research paper by Raphaël Rouquier

Indexed on: 24 Mar '06Published on: 24 Mar '06Published in: Inventiones mathematicae



Abstract

We determine the representation dimension of exterior algebras. This provides the first known examples of representation dimension > 3. We deduce that the Loewy length of the group algebra over F2 of a finite group is strictly bounded below by the 2-rank of the group (a conjecture of Benson). A key tool is the use of the concept of dimension of a triangulated category.