Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1994-06-08
J.Math.Phys. 35 (1994) 3794-3804
Physics
High Energy Physics
High Energy Physics - Theory
15 pages
Scientific paper
10.1063/1.530448
In this paper 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 generalisation of the $q$-quark type or $q$-hadronic type, of $q$-boson or $q$-fermion type. We are also led to a natural definition of $q$-direct sums of q-algebras.
Fairlie David B.
Nuyts Jean
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