ON CERTAIN QUANTUM DEFORMATIONS OF GL(N,R)

Authors
FAIRLIE DB NUYTS J
Citation
Db. Fairlie et J. Nuyts, ON CERTAIN QUANTUM DEFORMATIONS OF GL(N,R), Journal of mathematical physics, 35(8), 1994, pp. 3794-3804
Citations number
9
Categorie Soggetti
Mathematical Method, Physical Science","Physycs, Mathematical
Journal title
Journal of mathematical physics → ACNP
ISSN journal
00222488
Volume
35
Issue
8
Year of publication
1994
Pages
3794 - 3804
Database
ISI
SICI code
0022-2488(1994)35:8<3794:OCQDOG>2.0.ZU;2-D
Abstract
In this article all deformations of the general linear group, subject to certain restrictions which in particular ensure a smooth passage to the Lie group limit, are obtained. Representations are given in terms of certains sets of creation and annihilation operators. These creati on and annihilation operators may belong to a generalization of the q- quark type or q-hadronic type with q-boson or q-fermion behavior. This leads to a natural definition of q-direct sums of q-algebras.