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Generic representations of orthogonal groups: the mixed functors

Christine Vespa

Algebraic & Geometric Topology 7 (2007) 379–410

DOI: 10.2140/agt.2007.7.379

arXiv: math.AT/0611560
Abstract

In previous work, we defined the category of functors Fquad, associated to F2–vector spaces equipped with a nondegenerate quadratic form. In this paper, we define a special family of objects in the category Fquad, named the mixed functors. We give the complete decompositions of two elements of this family that give rise to two new infinite families of simple objects in the category Fquad.

Keywords

functor categories, quadratic forms over F2
Mathematical Subject Classification

Primary: 18A25

Secondary: 16D90, 20C20
References
Publication

Received: 18 November 2006
Accepted: 8 February 2007
Published: 25 April 2007
Authors
Christine Vespa
Ecole Polytechnique Fédérale de Lausanne
Institut de Géométrie, Algèbre et Topologie
Lausanne
Switzerland