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Duality for multiparametric quantum GL(n) and for a Lorentz quantum group

Technical Report:

Abstract

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.
Publication Date:
Jul 01, 1992
Product Type:
Technical Report
Report Number:
IC-92/189
Reference Number:
SCA: 662110; 661100; PA: AIX-24:008181; SN: 93000932909
Resource Relation:
Other Information: PBD: Jul 1992
Subject:
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
OSTI ID:
10119521
Research Organizations:
International Centre for Theoretical Physics (ICTP), Trieste (Italy)
Country of Origin:
IAEA
Language:
English
Other Identifying Numbers:
Other: ON: DE93613048; TRN: XA9233067008181
Availability:
OSTI; NTIS (US Sales Only); INIS
Submitting Site:
INIS
Size:
[19] p.
Announcement Date:
Jun 30, 2005

Technical Report:

Citation Formats

Dobrev, V K, and Parashar, P. Duality for multiparametric quantum GL(n) and for a Lorentz quantum group. IAEA: N. p., 1992. Web.
Dobrev, V K, & Parashar, P. Duality for multiparametric quantum GL(n) and for a Lorentz quantum group. IAEA.
Dobrev, V K, and Parashar, P. 1992. "Duality for multiparametric quantum GL(n) and for a Lorentz quantum group." IAEA.
@misc{etde_10119521,
title = {Duality for multiparametric quantum GL(n) and for a Lorentz quantum group}
author = {Dobrev, V K, and Parashar, P}
abstractNote = {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.}
place = {IAEA}
year = {1992}
month = {Jul}
}