Duality for multiparametric quantum GL(n) and for a Lorentz quantum group
Dobrev, V K; Parashar, P
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; LORENTZ GROUPS; ALGEBRA; COMMUTATION RELATIONS; GROUP THEORY; 662110; 661100; THEORY OF FIELDS AND STRINGS; CLASSICAL AND QUANTUM MECHANICS
We show that the algebra U{sub uq} dual to the multiparametric deformation GL{sub uq}(n,C) may be realized a la Sudbery, viz, tangent vectors at the identity. Furthermore, we give the Cartan-Weyl basis of U{sub uq} and show that this is consistent with Sudbery duality. We also give the algebra dual to the matrix Lorentz quantum group of Podles-Woronowicz and Watamura et al. (author). 30 refs.
International Centre for Theoretical Physics (ICTP), Trieste (Italy)
OSTI; NTIS (US Sales Only); INIS
IAEA
1992-07-01
English
Technical Report
Other Information: PBD: Jul 1992
Medium: X; Size: [19] p.
ON: DE93613048
IC-92/189
Other: ON: DE93613048; TRN: XA9233067008181
INIS; SCA: 662110; 661100; PA: AIX-24:008181; SN: 93000932909
2008-02-12
10119521