Geodesic
Generic representations of orthogonal groups: the mixed functors
Vespa, Christine1
1Ecole Polytechnique Fédérale de Lausanne, Institut de Géométrie, Algèbre et Topologie, Lausanne, Switzerland
Algebraic and Geometric Topology, Tome 7 (2007) no. 1, pp. 379-410
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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.

DOI : 10.2140/agt.2007.7.379
Keywords: functor categories, quadratic forms over $\mathbb{F}_2$

Vespa, Christine  1

1 Ecole Polytechnique Fédérale de Lausanne, Institut de Géométrie, Algèbre et Topologie, Lausanne, Switzerland 
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Vespa, Christine. Generic representations of orthogonal groups: the mixed functors. Algebraic and Geometric Topology, Tome 7 (2007) no. 1, pp. 379-410. doi: 10.2140/agt.2007.7.379

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