Generic representations of orthogonal groups: the mixed functors

Vespa, Christine

doi:10.2140/agt.2007.7.379

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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 $ℱ_{quad}$ , associated to $F_{2}$ –vector spaces equipped with a nondegenerate quadratic form. In this paper, we define a special family of objects in the category $ℱ_{quad}$ , 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 $ℱ_{quad}$ .

Keywords

functor categories, quadratic forms over $\mathbb{F}_2$

Mathematical Subject Classification 2000

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

Volume 7, issue 1 (2007)