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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Publicado: 1994
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00049727_v50_n3_p373_Ronco
http://hdl.handle.net/20.500.12110/paper_00049727_v50_n3_p373_Ronco
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Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id paper:paper_00049727_v50_n3_p373_Ronco
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spelling paper:paper_00049727_v50_n3_p373_Ronco2023-06-08T14:29:46Z 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 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. 1994 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00049727_v50_n3_p373_Ronco 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.
title Free Lie algebra and lambda-ring structure
spellingShingle 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
publishDate 1994
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00049727_v50_n3_p373_Ronco
http://hdl.handle.net/20.500.12110/paper_00049727_v50_n3_p373_Ronco
_version_ 1768545262744109056

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