Algebraic & Geometric Topology Volume 7, issue 1 (2007)

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ISSN (electronic): 1472-2739

ISSN (print): 1472-2747

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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

Bibliography

1	J Bénabou, Introduction to bicategories, from: "Reports of the Midwest Category Seminar", Springer (1967) 1 MR0220789
2	S Betley, Stable $K$–theory of finite fields, $K$–Theory 17 (1999) 103 MR1696427
3	N Bourbaki, Éléments de mathématique. Première partie: Les structures fondamentales de l'analyse. Livre II: Algèbre. Chapitre 9: Formes sesquilinéaires et formes quadratiques, Actualités Sci. Ind. 1272, Hermann (1959) MR0107661
4	V Franjou, E M Friedlander, A Scorichenko, A Suslin, General linear and functor cohomology over finite fields, Ann. of Math. $(2)$ 150 (1999) 663 MR1726705
5	H W Henn, J Lannes, L Schwartz, The categories of unstable modules and unstable algebras over the Steenrod algebra modulo nilpotent objects, Amer. J. Math. 115 (1993) 1053 MR1246184
6	N J Kuhn, Generic representations of the finite general linear groups and the Steenrod algebra I, Amer. J. Math. 116 (1994) 327 MR1269607
7	N J Kuhn, Generic representations of the finite general linear groups and the Steenrod algebra II, $K$–Theory 8 (1994) 395 MR1300547
8	A Pfister, Quadratic forms with applications to algebraic geometry and topology, London Mathematical Society Lecture Note Series 217, Cambridge University Press (1995) MR1366652
9	G M L Powell, Endomorphisms of $H^(K(V,n);\mathbb{F}_2)$ in the category of unstable modules*, Math. Z. 254 (2006) 55 MR2232008
10	L Schwartz, Unstable modules over the Steenrod algebra and Sullivan's fixed point set conjecture, Chicago Lectures in Mathematics, University of Chicago Press (1994) MR1282727
11	C Vespa, Generic representations of orthogonal groups: projective functors in the category $\mathcal{F}_{\mathrm{quad}}$, in preparation
12	C Vespa, Generic representations of orthogonal groups: the functor category $\mathcal{F}_{\mathrm{quad}}$ arXiv:math.AT/0606484
13	C Vespa, La catégorie $\mathcal{F}_{\mathrm{quad}}$ des foncteurs de Mackey généralisés pour les formes quadratiques sur $\mathbb{F}_2$, PhD thesis, Université Paris 13 (2005)