Journal of Prime Research in Mathematics
Vol. 1 (2005), Issue 1, pp. 101 – 112
ISSN: 1817-3462 (Online) 1818-5495 (Print)
ISSN: 1817-3462 (Online) 1818-5495 (Print)
On realizations of the steenrod algebras
Alexei Lebedev
MPIMiS, Inselstr. 22, DE-04103 Leipzig, Germany.
Dimitry Leites
MPIMiS, Inselstr. 22, DE-04103 Leipzig, Germany.
\(^{2}\)Corresponding Author: leites@mis.mpg.de
Copyright © 2006 Alexei Lebedev, Dimitry Leites. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Published: December, 2006.
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 his comments, hints and open problems
Keywords:
Lie algebras, Lie superalgebras, Steenrod algebras.