Generic representations of orthogonal groups: projective functors in the category Fquad
Algebraic Topology
2007-05-23 v1 Category Theory
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.
Keywords
Cite
@article{arxiv.0704.0502,
title = {Generic representations of orthogonal groups: projective functors in the category Fquad},
author = {Christine Vespa},
journal= {arXiv preprint arXiv:0704.0502},
year = {2007}
}
Comments
32 pages