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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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 |
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Universidad de Buenos Aires |
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I-28 |
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R-134 |
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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. |
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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 |
work_keys_str_mv |
AT roncom freeliealgebraandlambdaringstructure |
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1807318097303961600 |