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MiS Preprint

On realizations of the Steenrod algebras

Alexei Lebedev and Dimitry A. Leites


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.

MSC Codes:
Steenrod algebra, Lie superalgebra, Lie algebra

Related publications

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