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ψ^3 as an upper triangular matrix

Jonathan Barker·Victor Snaith
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Abstract

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\wedgeψ^3, where ψ^3 is the Adams operation.

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Jonathan Barker, Victor Snaith. 2005-02-23. ψ^3 as an upper triangular matrix. https://arxiv.org/abs/math/0502472

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