Algebraic & Geometric Topology 7 (2007) 379–410

DOI: 10.2140/agt.2007.7.379

Abstract

In previous work, we defined the category of functors F_quad, associated to F₂–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 F₂

Mathematical Subject Classification

Primary: 18A25

Secondary: 16D90, 20C20

References

Publication

Received: 18 November 2006
Accepted: 8 February 2007
Published: 25 April 2007

Authors