Artículo
Ronco, M. "Free Lie algebra and lambda-ring structure" (1994) Bulletin of the Australian Mathematical Society. 50(3):373-382
Estamos trabajando para incorporar este artículo al repositorio
Consulte la política de Acceso Abierto del editor
Abstract:
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.
Registro:
| Documento: | Artículo |
| Título: | Free Lie algebra and lambda-ring structure |
| Autor: | Ronco, M. |
| Filiación: | Depto. de Matemáticas Facultad de Ciencias Exactas y Nat, Universidat de Buenos Aires, Argentina |
| Año: | 1994 |
| Volumen: | 50 |
| Número: | 3 |
| Página de inicio: | 373 |
| Página de fin: | 382 |
| DOI: | http://dx.doi.org/10.1017/S0004972700013496 |
| Título revista: | Bulletin of the Australian Mathematical Society |
| Título revista abreviado: | Bull. Aust. Math. Soc. |
| ISSN: | 00049727 |
| Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00049727_v50_n3_p373_Ronco |
Referencias:
- Dress, A., Siebeneicher, C., The Burnside ring of the infinite cyclic group and its relations to the necklace algebra, λ-ring and the Universal ring of Witt vectors (1989) Adv. in Math, 78, pp. 1-41
- Gerstenhaber, M., Schack, S., A Hodge type decomposition for commutative algebra homology (1987) J. Pure Appl. Algebra, 48, pp. 229-247
- Hanlon, P., The action of Sn on the components of the Hodge decomposition of Hochschild homology (1990) Michigan Math. J., 37, pp. 105-124
- Klyachko, A., Lie elements in the tensor algebra (1974) Siberian Math. J., 15, pp. 1296-1304
- Knutson, D., λ-ring and the representation theory of the symmetric groups IV Lecture Notes in Mathematics, 308. , Springer-Verlag, Berlin, Heidelberg, New York)
- Loday, J.-L., Opérations sur l'homologie cyclique des algèbres commutatives (1989) Invent. Math., 96, pp. 205-230
- Metropolis, N., Rota, G.-C., The Cyclotomic identity (1984) Contemp. Math., 34, pp. 19-24
- Kerber, J., The representation theory of the symmetric group Encyclopedia of Mathematics, , Cambridge University Press, Cambridge New York)
Citas:
---------- APA ----------
(1994) . Free Lie algebra and lambda-ring structure. Bulletin of the Australian Mathematical Society, 50(3), 373-382.http://dx.doi.org/10.1017/S0004972700013496
---------- CHICAGO ----------
Ronco, M. "Free Lie algebra and lambda-ring structure" . Bulletin of the Australian Mathematical Society 50, no. 3 (1994) : 373-382.http://dx.doi.org/10.1017/S0004972700013496
---------- MLA ----------
Ronco, M. "Free Lie algebra and lambda-ring structure" . Bulletin of the Australian Mathematical Society, vol. 50, no. 3, 1994, pp. 373-382.http://dx.doi.org/10.1017/S0004972700013496
---------- VANCOUVER ----------
Ronco, M. Free Lie algebra and lambda-ring structure. Bull. Aust. Math. Soc. 1994;50(3):373-382.http://dx.doi.org/10.1017/S0004972700013496
