Generic representations of orthogonal groups: the mixed functors

Christine Vespa

18A25, 16D90, 20C20

already submitted to Arxiv math.AT/0611560 with the title: The mixed
functors of the category Fquad: a first study.

 Ecole Polytechnique Federale de Lausanne, Institut de Geometrie,
 Algfbre et Topologie, Lausanne, Switzerland.

christine.vespa@epfl.ch

In previous work, we defined the category of functors Fquad, associated
to vector spaces over the field with two elements 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.