Readership

Graduate students and research mathematicians interested in geometry and topology.

Table of Contents

• Introduction
• Representation theory and \(\psi^2\) in \(K\)-theory
• Nice form for \(\psi^2\) in \(PK^1(E_8)_{(5)}\) and \(PK^1(X)\)
• Determination of \(v_1^{-1}\pi_{2m}(E_8;5)\)
• Determination of \(v_1^{-1}\pi_{2m-1}(E_8;5)\)
• Calculation of \(v_1^{-1}\pi_\ast(E_8;3)\)
• LiE program for computing \(\lambda^2\) in \(R(E_8)\)
• Analysis of \(F_4\) and \(E_7\) at the prime \(3\)
• References