Generic representations of orthogonal groups: the mixed functors

Vespa, Christine

doi:10.2140/agt.2007.7.379

Download this article
	For screen
	For printing

Recent Issues

The Journal

About the Journal

Editorial Board

Editorial Interests

Subscriptions

Submission Guidelines

Submission Page

Policies for Authors

Ethics Statement

ISSN (electronic): 1472-2739

ISSN (print): 1472-2747

Author Index

To Appear

Other MSP Journals

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)