Graded contractions of \(sp(3,\mathbb{R})\)
type: Item
instance of: scholarly article
title: Graded contractions of \(sp(3,\mathbb{R})\)
zbMATH Open document ID: 0902.17016
DOI: 10.1016/S0034-4877(97)85932-0
published in: Reports on Mathematical Physics
publication date: 1998-12-13T00:00:00Z
review text: It is straightforward to calculate \(G\)-graded contractions for a given Lie algebra \(L\). Here, this is done for \(G= \mathbb{Z}_2 \times \mathbb{Z}_2\) and \(L=sp (3,\mathbb{R})\), the symmetry group of nuclear collective models. The real graded contractions are calculated under the assumption (which is not proven) that their elements can always be turned into \(\pm 1\) or 0 by a (real) change of basis.
Mathematics Subject Classification ID: 17B70
zbMATH DE Number: 1158217
zbMATH Keywords: graded contraction
zbMATH Keywords: Lie algebra
zbMATH Keywords: symmetry group
zbMATH Keywords: nuclear collective models
zbMATH Keywords: real graded contractions
author: J. Tolar
author: P. Trávníček
reviewed by: Evelyn Weimar-Woods
MaRDI profile type: Publication
cites work: ON A PARTICULAR TYPE OF CONVERGENCE TO A SINGULAR MATRIX
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description: scientific article; zbMATH DE number 1158217