descriptionPublicationkeyboard_double_arrow_right Article , Preprint , Other literature type 01 Aug 1994Embargo end date: 01 Jan 1994 English Publisher:AIP PublishingJournal:Journal of Mathematical Physics, volume 35, pages 3,794-3,804 (issn: 0022-2488, eissn: 1089-7658,

Authors: David B. Fairlie; Jean Nuyts;

doi: 10.1063/1.530448 , 10.48550/arxiv.hep-th/9406044

arXiv: http://arxiv.org/abs/hep-th/9406044

On certain quantum deformations of gl(N,R)

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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 creation 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.

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High Energy Physics - Theory, High Energy Physics - Theory (hep-th), Mathematics - Quantum Algebra, FOS: Mathematics, Quantum Algebra (math.QA), FOS: Physical sciences

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QUANTUM GROUP SCHRÖDINGER FIELD THEORY
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