psi^3 as an upper triangular matrix, by Jonathan Barker and Victor Snaith

In the 2-local stable homotopy category the group of left-bu-module automorphisms of bu \wedge bo which induce the identity on mod 2 homology is isomorphic to the group of infinite upper triangular matrices with entries in the 2-adic integers. We identify the conjugacy class of the matrix corresponding to 1 \wedge \psi^3, where \psi^3 is the Adams operation.


Jonathan Barker <jeb1@soton.ac.uk>
Victor Snaith <V.Snaith@sheffield.ac.uk>