Subalgebras and automorphisms of Lie algebras of Cartan type
type: Item
instance of: scholarly article
title: Subalgebras and automorphisms of Lie algebras of Cartan type
zbMATH Open document ID: 0594.17015
DOI: 10.1007/BF01077325
publication date: 1986-01-01T00:00:00Z
review text: All subalgebras of minimal codimension are described in the Lie algebras \(W_ n\), \(S_ n\), \(H_ n\), \(K_ n\) of Cartan type and in the corresponding Lie algebras of all polynomial vector fields on an affine space, and also in the Lie algebra of all regular vector fields on an affine manifold.
Mathematics Subject Classification ID: 17B65
Mathematics Subject Classification ID: 17B66
Mathematics Subject Classification ID: 17B40
zbMATH DE Number: 3955171
zbMATH Keywords: subalgebras of minimal codimension
zbMATH Keywords: Lie algebras
zbMATH Keywords: Cartan type
zbMATH Keywords: polynomial vector fields
zbMATH Keywords: regular vector fields
author: Alexei Rudakov
reviewed by: Yurii V. Mukhin
MaRDI profile type: Publication
cites work: Homomorphism of the Lie algebras of vector fields
published in: Functional Analysis and Its Applications
description: scientific article; zbMATH DE number 3955171