Quantum superalgebra sl(q)(2/1) on the Poincare half-plane

Authors
Jellal, A
Citation
A. Jellal, Quantum superalgebra sl(q)(2/1) on the Poincare half-plane, REP MATH PH, 47(1), 2001, pp. 1-8
Citations number
34
Categorie Soggetti
Physics
Journal title
REPORTS ON MATHEMATICAL PHYSICS
ISSN journal
00344877 → ACNP
Volume
47
Issue
1
Year of publication
2001
Pages
1 - 8
Database
ISI
SICI code
0034-4877(200102)47:1<1:QSSOTP>2.0.ZU;2-Q
Abstract
We find that the symmetry algebra for the motion of a spin-1/2 electron mov ing in the Poincare upper half-plane (H) under the action of a constant mag netic field (orthogonal to H) is the quantum superalgebra sl(q)(2/1). From this, and using representation theory, we are able to determine the degree of degeneracy of the lowest Landau level when q is a root of unity.