Maximal abelian subalgebras of pseudounitary Lie algebras
type: Item
instance of: scholarly article
title: Maximal abelian subalgebras of pseudounitary Lie algebras
zbMATH Open document ID: 0723.17005
DOI: 10.1016/0024-3795(90)90117-U
author: D. Kharzeev
published in: Linear Algebra and its Applications
publication date: 1990-01-01T00:00:00Z
review text: This paper is one of a sequence concerned with the problem of constructing and classifying the maximal abelian subalgebras (MASA's) of Lie algebras. The classification of MASA's for \({\mathfrak su}(p,q)\) is connected with the corresponding problem for maximal nilpotent subalgebras, there are used some results of Kravchuk. Many theorems for classification are proved, the problem is completely solved for \({\mathfrak su}(p,1)\), \({\mathfrak su}(p,2)\) and \({\mathfrak su}(p,q)\) with \(p+q\leq 6\), where the MASA's are listed. Applications with respect to physics and differential equations are discussed.
Mathematics Subject Classification ID: 17B05
Mathematics Subject Classification ID: 17B45
Mathematics Subject Classification ID: 17B30
zbMATH DE Number: 4191937
zbMATH Keywords: maximal abelian subalgebras
zbMATH Keywords: classification
zbMATH Keywords: maximal nilpotent subalgebras
Wikidata QID: Q115364344
reviewed by: Günter Czichowski
MaRDI profile type: Publication
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full work available at URL: 0024-3795(90)90117-u
OpenAlex ID: W2166083798
description: scientific article; zbMATH DE number 4191937