Capelli elements for the algebra \(\mathfrak g_{2}\)
type: Item
instance of: scholarly article
zbMATH Open document ID: 1294.17011
author: Dmitry Artamonov
author: Valentina Golubeva
publication date: 2013-08-19T00:00:00Z
full work available at URL: jlt23027.htm
Mathematics Subject Classification ID: 17B35
Mathematics Subject Classification ID: 17B25
Mathematics Subject Classification ID: 16S30
zbMATH DE Number: 6199368
zbMATH Keywords: central elements
zbMATH Keywords: universal enveloping algebra
zbMATH Keywords: Pfaffian
MaRDI profile type: Publication
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title: Capelli elements for the algebra \(\mathfrak g_{2}\)
published in: Journal of Lie Theory
review text: The authors construct central elements (referred to as Capelli elements) in the universal enveloping algebra \(U({\mathfrak g}_2)\) of the simple Lie algebra \({\mathfrak g}_2\) in terms of sums of squares of Pfaffians of some matrices with entries belonging to \({\mathfrak g}_2\). A characterization of such elements in terms of vanishing properties is given and relations between them and higher Casimir elements are obtained.
reviewed by: Salvatore Siciliano
description: scientific article; zbMATH DE number 6199368