Q-DIFFERENCE REALIZATION OF U-Q(SL(M N)) AND ITS APPLICATION TO FREE BOSON REALIZATION OF U-Q((SL)OVER-CAP(2/1))/

Authors
AWATA H ODAKE S SHIRAISHI JI
Citation
H. Awata et al., Q-DIFFERENCE REALIZATION OF U-Q(SL(M N)) AND ITS APPLICATION TO FREE BOSON REALIZATION OF U-Q((SL)OVER-CAP(2/1))/, letters in mathematical physics, 42(3), 1997, pp. 271-279
Citations number
14
Categorie Soggetti
Mathematical Method, Physical Science","Physycs, Mathematical
Journal title
letters in mathematical physics → ACNP
ISSN journal
03779017
Volume
42
Issue
3
Year of publication
1997
Pages
271 - 279
Database
ISI
SICI code
0377-9017(1997)42:3<271:QROUNA>2.0.ZU;2-P
Abstract
We present a q-difference realization of the quantum superalgebra U-q( sl(M/N)), which includes Grassmann even and odd coordinates and their derivatives. Based on this result, we obtain a free boson realization of the quantum affine superalgebra U-q(<(sl)over-cap>(2/1)) of an arbi trary level k.