A model for \(so(5)=sp(4)\) Lie algebra
type: Item
instance of: scholarly article
title: A model for \(so(5)=sp(4)\) Lie algebra
zbMATH Open document ID: 0603.22006
DOI: 10.1016/0034-4877(85)90008-4
author: Zbigniew Oziewicz
author: Stanisław Ciechanowicz
published in: Reports on Mathematical Physics
publication date: 1985-01-01T00:00:00Z
review text: The paper is the continuation of a previous one [Physica Scripta 22, 545- 555 (1980)] devoted to quadrupling in the shell model. We consider here a simple model of the ten-dimensional quasi-spin Lie algebra which is spectrum generating for the quadrupling Hamiltonian. The model allows us to investigate many concrete aspects of the theory of linear representations of the quasi-spin algebra. In particular, we present an explicit construction of the irreducible representation module for the finite dimensional representations, and we consider the direct product of the such irreducible modules.
Mathematics Subject Classification ID: 22E70
Mathematics Subject Classification ID: 81R10
Mathematics Subject Classification ID: 22E60
zbMATH DE Number: 3973190
zbMATH Keywords: ten-dimensional quasi-spin Lie algebra
zbMATH Keywords: linear representations
zbMATH Keywords: irreducible representation
zbMATH Keywords: direct product
Wikidata QID: Q115364230
MaRDI profile type: Publication
full work available at URL: 0034-4877(85)90008-4
OpenAlex ID: W1993100061
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description: scientific article; zbMATH DE number 3973190