An algebraic model for rational U(2)-spectra

TL;DR

This paper develops an explicit algebraic model for rational U(2)-spectra, integrating previous work on toral parts and small toral groups, with detailed analysis of fusion and Weyl groups.

Contribution

It provides a new, calculable algebraic framework for rational U(2)-spectra by assembling multiple components from prior research.

Findings

Constructed an explicit algebraic model for rational U(2)-spectra.

Integrated seven blocks including toral and small toral group components.

Detailed analysis of fusion and Weyl groups was essential for assembly.

Abstract

We construct an explicit and calculable models for rational U(2)-spectra. This is obtained by assembling seven blocks obtained in previous work: the toral part and earlier work on small toral groups. The assembly process requires detailed input on fusion and Weyl groups.