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Generic representations of orthogonal groups: projective functors in the category $ℱ_{quad}$

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Vespa C.

Fundamenta Mathematicae

2008

tom 200

nr 3

243-278

We continue the study of the category of functors $ℱ_{quad}$, associated to 𝔽₂-vector spaces equipped with a nondegenerate quadratic form, initiated in J. Pure Appl. Algebra 212 (2008) and Algebr. Geom. Topology 7 (2007). We define a filtration of the standard projective objects in $ℱ_{quad}$; this refines to give a decomposition into indecomposable factors of the first two standard projective objects in $ℱ_{quad}$: $P_{H₀}$ and $P_{H₁}$. As an application of these two decompositions, we give a complete description of the polynomial functors in $ℱ_{quad}$.

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1 Fundamenta Mathematicae

1 Vespa C.

1 2008

Wyniki wyszukiwania

Generic representations of orthogonal groups: projective functors in the category $ℱ_{quad}$