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ψ3 as an upper triangular matrix

Jonathan Barker, Victor Snaith

math.ATarXiv:math/0502472

Abstract

In the 2-local stable homotopy category the group of left-bu-module automorphisms of bu 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 1ψ3, where ψ3 is the Adams operation.

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