On certain quantum deformations of gl(N,R) | Zendy

D. B. Fairlie | Zendy; J. Nuyts | Zendy

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On certain quantum deformations of gl(N,R)

Author(s) -

D. B. Fairlie,

J. Nuyts

Publication year - 1994

Publication title -

journal of mathematical physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.708

H-Index - 119

eISSN - 1089-7658

pISSN - 0022-2488

DOI - 10.1063/1.530448

Subject(s) - annihilation , creation and annihilation operators , type (biology) , boson , limit (mathematics) , pure mathematics , physics , lie group , hadron , group (periodic table) , mathematics , quark , quantum , quantum group , mathematical physics , particle physics , algebra over a field , quantum mechanics , mathematical analysis , ecology , biology

In this paper all deformations of the general linear group, subject tocertain restrictions which in particular ensure a smooth passage to the Liegroup limit, are obtained. Representations are given in terms of certains setsof creation and annihilation operators. These creation and annihilationoperators may belong to a generalisation of the $q$-quark type or $q$-hadronictype, of $q$-boson or $q$-fermion type. We are also led to a natural definitionof $q$-direct sums of q-algebras.Comment: 15 page

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