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...
| 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 |
| Aporte de: |
| Sumario: | 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. |
|---|