Degeneracy of the lowest Landau level and su(q)(2) on the Poincare half plane

Authors
Jellal, A
Citation
A. Jellal, Degeneracy of the lowest Landau level and su(q)(2) on the Poincare half plane, ACT PHYS SL, 50(2), 2000, pp. 253-257
Citations number
28
Categorie Soggetti
Physics
Journal title
ACTA PHYSICA SLOVACA
ISSN journal
03230465 → ACNP
Volume
50
Issue
2
Year of publication
2000
Pages
253 - 257
Database
ISI
SICI code
0323-0465(200004)50:2<253:DOTLLL>2.0.ZU;2-2
Abstract
It is shown that the presence of the quantum group symmetry su(q) (2) in th e quantum Hall effect on the Poincare upper half plane governs the degenera cy of the lowest Landau level. It is also shown that the relation between t he degree of degeneracy and the cyclic representation of su(q)(2) appears i n accordance with q being a kth root of unity.