The homomorphisms between the Dickson–Mùi algebras as modules over the Steenrod algebra

Hưng, Nguyễn H.V.

doi:10.1016/j.crma.2010.07.032

Topology

The homomorphisms between the Dickson–Mùi algebras as modules over the Steenrod algebra
[Homorphismes entre l'algèbre de Dickson–Mùi comme module sur l'algèbre de Steenrod]

Présenté par : Christophe Soulé

Hưng, Nguyễn H.V.¹

¹ Department of Mathematics, Vietnam National University, Hanoi, 334 Nguyễn Trãi Street, Hanoi, Viet Nam

Comptes Rendus. Mathématique, Tome 348 (2010) no. 17-18, pp. 1001-1004.

Résumé
Abstract

L'algèbre de Dickson–Mùi consiste en les invariants sous l'action du groupe linéaire dans l'algèbre de cohomologie modulo p d'un p-groupe abélien élémentaire. C'est un module sur l'algèbre de Steenrod $A$ . Nous déterminons explicitement tous les homorphismes $A$ -linéaires entre ces algèbres ainsi que leurs automorphismes ( $A$ -linéaires).

The Dickson–Mùi algebra consists of all invariants in the mod p cohomology of an elementary abelian p-group under the general linear group. It is a module over the Steenrod algebra, $A$ . We determine explicitly all the $A$ -module homomorphisms between the Dickson–Mùi algebras and all the $A$ -module automorphisms of these algebras.

Reçu le : 2010-04-27
Accepté le : 2010-07-30
Publié le : 2010-09-01

DOI : 10.1016/j.crma.2010.07.032

Affiliations des auteurs :

Hưng, Nguyễn H.V. ¹

¹ Department of Mathematics, Vietnam National University, Hanoi, 334 Nguyễn Trãi Street, Hanoi, Viet Nam

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Hưng, Nguyễn H.V. The homomorphisms between the Dickson–Mùi algebras as modules over the Steenrod algebra. Comptes Rendus. Mathématique, Tome 348 (2010) no. 17-18, pp. 1001-1004. doi : 10.1016/j.crma.2010.07.032. http://www.numdam.org/articles/10.1016/j.crma.2010.07.032/

Bibliographie
Cité par

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Cité par Sources :

^☆ The work was supported in part by a grant of the NAFOSTED.