Search

MiS Preprint Repository

We have decided to discontinue the publication of preprints on our preprint server as of 1 March 2024. The publication culture within mathematics has changed so much due to the rise of repositories such as ArXiV (www.arxiv.org) that we are encouraging all institute members to make their preprints available there. An institute's repository in its previous form is, therefore, unnecessary. The preprints published to date will remain available here, but we will not add any new preprints here.

MiS Preprint
131/2006

On realizations of the Steenrod algebras

Alexei Lebedev and Dimitry A. Leites

Abstract

The Steenrod algebra can not be realized as an enveloping of any Lie superalgebra. We list several problems that suggest a need to modify the definition of the enveloping algebra, for example, to get rid of certain strange deformations which we qualify as an artifact of the inadequate definition of the enveloping algebra in positive characteristic. P.Deligne appended our paper with a realization the Steenrod algebra as a supergroup scheme, his comments, hints and open problems.

Received:
Nov 14, 2006
Published:
Nov 14, 2006
MSC Codes:
55N
Keywords:
Steenrod algebra, Lie superalgebra, Lie algebra

Related publications

inJournal
2006 Journal Open Access
Alexei Lebedev and D. A. Leites

On realizations of the Steenrod algebras

In: Journal of prime research in mathematics, 2 (2006), pp. 101-112