The Adams operation psi3 [Greek letter to the power of 3] as an upper triangular matrix
The Adams operation psi3 [Greek letter to the power of 3] as an upper triangular matrix
In the 2-local stable homotopy category the group of left bu-module automorphisms of bu Λ bo which induce the identity on mod 2 homology is isomorphic to the group of infinite, invertible upper triangular matrices with entries in the 2-adic integers. After giving a survey of the required background material from stable homotopy theory, we identify the conjugacy class of the matrix corresponding to 1 Λ ψ3, where ψ3 is the Adams operation. We conclude by giving two applications of having knowledge of the identity of this matrix.
University of Southampton
Barker, Jonathan Edward
ce2524cf-53fd-483f-b641-fbc560a21e19
2006
Barker, Jonathan Edward
ce2524cf-53fd-483f-b641-fbc560a21e19
Barker, Jonathan Edward
(2006)
The Adams operation psi3 [Greek letter to the power of 3] as an upper triangular matrix.
University of Southampton, Doctoral Thesis.
Record type:
Thesis
(Doctoral)
Abstract
In the 2-local stable homotopy category the group of left bu-module automorphisms of bu Λ bo which induce the identity on mod 2 homology is isomorphic to the group of infinite, invertible upper triangular matrices with entries in the 2-adic integers. After giving a survey of the required background material from stable homotopy theory, we identify the conjugacy class of the matrix corresponding to 1 Λ ψ3, where ψ3 is the Adams operation. We conclude by giving two applications of having knowledge of the identity of this matrix.
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Published date: 2006
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Local EPrints ID: 466059
URI: http://eprints.soton.ac.uk/id/eprint/466059
PURE UUID: c8d94feb-f6fc-4421-9896-3e18f6db3db3
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Date deposited: 05 Jul 2022 04:11
Last modified: 16 Mar 2024 20:29
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Author:
Jonathan Edward Barker
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