Free Lie algebra and lambda-ring structure

Let R be a graded λ-ring. We extend a well-known formula in the universal ring of Witt vectors by replacing the power operations by the Adams operations. Our method provides us an easy way to compute the inverse image by the symmetric power operators of certain elements of R. As a corollary we get i...

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Autor principal: Ronco, M.
Formato: JOUR
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_00049727_v50_n3_p373_Ronco
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spelling todo:paper_00049727_v50_n3_p373_Ronco2023-10-03T14:03:11Z Free Lie algebra and lambda-ring structure Ronco, M. Let R be a graded λ-ring. We extend a well-known formula in the universal ring of Witt vectors by replacing the power operations by the Adams operations. Our method provides us an easy way to compute the inverse image by the symmetric power operators of certain elements of R. As a corollary we get identities, found by Klyachko and Hanlon, in the rings 1 + [formula omitted][[t]]+ and 1 + Rˆ[[t]]+, where R is the representation ring of the symmetric groups. © 1994, Australian Mathematical Society. All rights reserved. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_00049727_v50_n3_p373_Ronco
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
description Let R be a graded λ-ring. We extend a well-known formula in the universal ring of Witt vectors by replacing the power operations by the Adams operations. Our method provides us an easy way to compute the inverse image by the symmetric power operators of certain elements of R. As a corollary we get identities, found by Klyachko and Hanlon, in the rings 1 + [formula omitted][[t]]+ and 1 + Rˆ[[t]]+, where R is the representation ring of the symmetric groups. © 1994, Australian Mathematical Society. All rights reserved.
format JOUR
author Ronco, M.
spellingShingle Ronco, M.
Free Lie algebra and lambda-ring structure
author_facet Ronco, M.
author_sort Ronco, M.
title Free Lie algebra and lambda-ring structure
title_short Free Lie algebra and lambda-ring structure
title_full Free Lie algebra and lambda-ring structure
title_fullStr Free Lie algebra and lambda-ring structure
title_full_unstemmed Free Lie algebra and lambda-ring structure
title_sort free lie algebra and lambda-ring structure
url http://hdl.handle.net/20.500.12110/paper_00049727_v50_n3_p373_Ronco
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