Product preserving gauge bundle functors on vector bundles
Volume 90 / 2001
Colloquium Mathematicum 90 (2001), 277-285
MSC: Primary 58A05.
DOI: 10.4064/cm90-2-7
Abstract
A complete description is given of all product preserving gauge bundle functors $F$ on vector bundles in terms of pairs $(A,V)$ consisting of a Weil algebra $A$ and an $A$-module $V$ with $\mathop {\rm dim}\nolimits _{{\mathbb R}}(V)<\infty $. Some applications of this result are presented.