On Certain Quantum Deformations of $gl(N,R)$

D. B. Fairlie; J. Nuyts

doi:10.1063/1.530448

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arXiv · hep-th/9406044

On Certain Quantum Deformations of $gl(N,R)$

D. B. Fairlie·J. Nuyts

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Abstract

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.

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BibTeX RIS

D. B. Fairlie, J. Nuyts. 1994-06-08. On Certain Quantum Deformations of $gl(N,R)$. https://doi.org/10.1063/1.530448

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