Bundles of Lie algebras
type: Item
instance of: scholarly article
zbMATH Open document ID: 1285.53069
DOI: 10.1142/S021988781350045X
author: Béchir Dali
published in: International Journal of Geometric Methods in Modern Physics
publication date: 2013-10-22T00:00:00Z
Mathematics Subject Classification ID: 53D17
Mathematics Subject Classification ID: 17B05
Mathematics Subject Classification ID: 55R65
zbMATH DE Number: 6218021
zbMATH Keywords: linear bundle
zbMATH Keywords: Lie algebras
zbMATH Keywords: Rais formula
zbMATH Keywords: matrices
zbMATH Keywords: index of Lie algebras
MaRDI profile type: Publication
cites work: Espaces fibres en algèbres de Lie et en groupes
cites work: Reduction by stages and the Raïs-type formula for the index of a Lie algebra with an ideal
cites work: Algebraic Nijenhuis operators and Kronecker Poisson pencils
cites work: Linear bundles of Lie algebras and their applications
full work available at URL: s021988781350045x
OpenAlex ID: W2152498316
title: Bundles of Lie algebras
review text: This paper gives a complete classification of irreducible closed linear bundles of Lie algebras. Let us recall that the notion of matrix Lie algebras is very important in mathematics and physics. In this work, the author starts with some usefull definitions. The Lie bundle naturally associated with a symplectic vector space is considered. Then, the linear bundles are classified. Moreover, the author uses the Rais formula to compute the index of the Lie bundles of square matrices.
reviewed by: Angela Gammella-Mathieu
description: scientific article; zbMATH DE number 6218021