M. I. Kuznetsov, A. A. Ladilova, “Filtered Deformations of Lie Algebras of the Series <nobr>$\mathscr{R}$</nobr>”, Mat. Zametki, 2012, Volume 91, Issue 3,Pages <nobr>400

This article is cited in 2 papers

Filtered Deformations of Lie Algebras of the Series $\mathscr{R}$

M. I. Kuznetsov, A. A. Ladilova

N. I. Lobachevski State University of Nizhni Novgorod

Abstract: In the paper, the rigidity with respect to the filtered deformations of the exceptional Lie algebras of the series $\mathscr{R}$ over an algebraically closed field of characteristic $3$ is proved.

Keywords: algebraically closed field, exceptional Lie algebra, simple graded Lie algebra, filtered deformation, Melikyan algebra, Weil algebra.

UDC: 512.554.31

Received: 20.07.2009

DOI: 10.4213/mzm8520