[Lambda algèbre et le transfert de Singer]
Utilisant la théorie d'invariants modulaires, nous modifions l'idée de Singer pour donner une description directe de la lambda algèbre. En application, nous décrivons les transferts algébraiques à l'aide de la théorie d'invariants, et ainsi fournir une méthode efficace pour les calculer. L'action induite de l'algèbre de Steenrod sur la lambda algèbre est également étudiée.
We modify Singer's idea to give a direct description of the lambda algebra using modular invariant theory. As an application, we describe the algebraic transfer in purely invariant-theoretic framework, thus, provides an effective computational tool for the algebraic transfer. The induced action of the Steenrod algebra on lambda algebra is also investigated and clarified.
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@article{CRMATH_2011__349_1-2_21_0,
author = {Chơn, Phan H. and H\`a, L\^e M.},
title = {Lambda algebra and the {Singer} transfer},
journal = {Comptes Rendus. Math\'ematique},
pages = {21--23},
publisher = {Elsevier},
volume = {349},
number = {1-2},
year = {2011},
doi = {10.1016/j.crma.2010.11.008},
language = {en},
url = {http://www.numdam.org/articles/10.1016/j.crma.2010.11.008/}
}
TY - JOUR AU - Chơn, Phan H. AU - Hà, Lê M. TI - Lambda algebra and the Singer transfer JO - Comptes Rendus. Mathématique PY - 2011 SP - 21 EP - 23 VL - 349 IS - 1-2 PB - Elsevier UR - http://www.numdam.org/articles/10.1016/j.crma.2010.11.008/ DO - 10.1016/j.crma.2010.11.008 LA - en ID - CRMATH_2011__349_1-2_21_0 ER -
Chơn, Phan H.; Hà, Lê M. Lambda algebra and the Singer transfer. Comptes Rendus. Mathématique, Tome 349 (2011) no. 1-2, pp. 21-23. doi : 10.1016/j.crma.2010.11.008. http://www.numdam.org/articles/10.1016/j.crma.2010.11.008/
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☆ This work is partially supported by the NAFOSTED grant No. 101.01.51.09.
