TY - JOUR
T1 - Quantum Hall effect wavefunctions as cyclic representations of Uq(sl(2))
AU - Dayi, Ömer F.
PY - 1998/4/17
Y1 - 1998/4/17
N2 - Quantum Hall effect wavefunctions corresponding to the filling factors 1/2p + 1, 2/2p + 1...., 2p/2p + 1, 1, are shown to form a basis of irreducible cyclic representations of the quantum algebra Uq(sl(2)) at q2p+1 = 1. Thus, the wavefunctions ΨP/Q possessing filling factors P/Q < 1 where Q is odd and P, Q are relatively prime integers are classified in terms of Uq(sl(2)).
AB - Quantum Hall effect wavefunctions corresponding to the filling factors 1/2p + 1, 2/2p + 1...., 2p/2p + 1, 1, are shown to form a basis of irreducible cyclic representations of the quantum algebra Uq(sl(2)) at q2p+1 = 1. Thus, the wavefunctions ΨP/Q possessing filling factors P/Q < 1 where Q is odd and P, Q are relatively prime integers are classified in terms of Uq(sl(2)).
UR - http://www.scopus.com/inward/record.url?scp=0039242118&partnerID=8YFLogxK
U2 - 10.1088/0305-4470/31/15/016
DO - 10.1088/0305-4470/31/15/016
M3 - Article
AN - SCOPUS:0039242118
SN - 0305-4470
VL - 31
SP - 3523
EP - 3529
JO - Journal of Physics A: Mathematical and General
JF - Journal of Physics A: Mathematical and General
IS - 15
ER -