English

\psi^3 as an upper triangular matrix

Algebraic Topology 2007-05-23 v1

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\wedge\psi^3, where \psi^3 is the Adams operation.

Keywords

Cite

@article{arxiv.math/0502472,
  title  = {\psi^3 as an upper triangular matrix},
  author = {Jonathan Barker and Victor Snaith},
  journal= {arXiv preprint arXiv:math/0502472},
  year   = {2007}
}

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26 pages