Graded Lie algebras of maximal class. V
type: Item
instance of: scholarly article
title: Graded Lie algebras of maximal class. V
zbMATH Open document ID: 1020.17021
DOI: 10.1007/BF02773066
published in: Israel Journal of Mathematics
publication date: 2003-06-25T00:00:00Z
review text: Having previously studied a certain type of infinite-dimensional graded Lie algebras of maximal class over fields of odd characteristic [Ann. Sc. Norm. Super. Pisa, Cl. Sci. (4) 29, 269-312 (2000; Zbl 0960.17007)], the authors make a similar investigation of such algebras over fields of characteristic 2. An infinite-dimensional Lie algebra \(M\) is said to be of maximal class if \(M^i\) has codimension \(i\) for all \(i \geqq 2\) and \(\bigcap_i M^i = \{ 0\}\). The algebras studied are generated by an element of weight one and an element of weight two, and their relation to algebras generated by two elements of weight one is shown.
Mathematics Subject Classification ID: 17B70
Mathematics Subject Classification ID: 17B65
zbMATH DE Number: 1910268
zbMATH Keywords: infinite-dimensional graded Lie algebras
zbMATH Keywords: characteristic 2
zbMATH Keywords: maximal class
author: Andrea Caranti
author: Michael Vaughan-Lee
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1910268