Central elements of the algebras U '(q)(so(m)) and U-q(iso(m))

Authors
Havlicek, M Klimyk, AU Posta, S
Citation
M. Havlicek et al., Central elements of the algebras U '(q)(so(m)) and U-q(iso(m)), CZEC J PHYS, 50(1), 2000, pp. 79-84
Citations number
9
Categorie Soggetti
Physics
Journal title
CZECHOSLOVAK JOURNAL OF PHYSICS
ISSN journal
00114626 → ACNP
Volume
50
Issue
1
Year of publication
2000
Pages
79 - 84
Database
ISI
SICI code
0011-4626(200001)50:1<79:CEOTAU>2.0.ZU;2-3
Abstract
The aim of this paper is to give a set of central elements of the algebras U'(q)(so(m)) and U-q(iso(m)) when q is a root of unity. They are suprisingl y arise from a single polynomial Casimir element of the algebra U'(q)(so(3) ). It is conjectured that the Casimir elements of these algebras under any values of q (not only for q a root of unity) and the central elements for q a root of unity derived in this paper generate the centers of U'(q)(so(m)) and U-q(iso(m)) when q is a root of unity.