``Universal'' Lie algebra extensions and their Casimir invariants via commutative structures
type: Item
instance of: scholarly article
title: ``Universal'' Lie algebra extensions and their Casimir invariants via commutative structures
zbMATH Open document ID: 1047.17017
DOI: 10.1016/S0167-2789(02)00602-4
author: D. Kharzeev
published in: Physica D
publication date: 2002-11-03T00:00:00Z
review text: The author approaches the recently introduced ``universal'' Lie algebra extensions from the viewpoint of commutative associative algebras, by exhibiting a one-to-one correspondence. The author investigates also the Casimir invariants for the universal extensions and the ``coextension'' structures, which arise in the calculation of the Casimir functions. This research is inspired by problems of mathematical physics.
reviewed by: Marco Modugno
Mathematics Subject Classification ID: 17B80
Mathematics Subject Classification ID: 37K30
Mathematics Subject Classification ID: 37K05
zbMATH DE Number: 1822557
zbMATH Keywords: Casimir invariants
zbMATH Keywords: Poisson-Lie brackets
zbMATH Keywords: Lie algebra extensions
Wikidata QID: Q115339606
MaRDI profile type: Publication
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full work available at URL: s0167-2789(02)00602-4
OpenAlex ID: W2086839076
description: scientific article; zbMATH DE number 1822557