\psi^3 as an upper triangular matrix
Jonathan Barker and Victor Snaith
55S25 (Primary) 55P42 (Secondary)
math.AT/0502472
Jonathan Barker
Building 54 (School of Mathematics)
University of Southampton
Highfield
Southampton
SO17 1BJ
UK
Victor Snaith
Department of Pure Mathematics
University of Sheffield
Hicks Building
Hounsfield Road
Sheffield
S3 7RH
UK
jeb1@soton.ac.uk
V.Snaith@sheffield.ac.uk
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.