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arXiv · 0704.0502

Generic representations of orthogonal groups: projective functors in the category Fquad

Christine Vespa
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Abstract

In this paper, we continue the study of the category of functors Fquad, associated to F_2-vector spaces equipped with a nondegenerate quadratic form, initiated in two previous papers of the author. We define a filtration of the standard projective objects in Fquad; this refines to give a decomposition into indecomposable factors of the two first standard projective objects in Fquad. As an application of these two decompositions, we give a complete description of the polynomial functors of the category Fquad.

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Christine Vespa. 2007-04-04. Generic representations of orthogonal groups: projective functors in the category Fquad. https://arxiv.org/abs/0704.0502

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