Representations and Q-Boson Realization of the Algebra of Functions on the Quantum Group GLq(N)

Details Representations and Q-Boson Realization of the Algebra of Functions on the Quantum Group GLq(N) Representations and Q-Boson Realization of the Algebra of Functions on the Quantum Group GLq(N)

1993-11-25

arxiv.org/abs/hep-th/9311150v1

Physics

High Energy Physics

High Energy Physics - Theory

20 PAGES

Scientific paper

We present a detailed study of the representations of the algebra of
functions on the quantum group $ GL_q(n) $. A q-analouge of the root system is
constructed for this algebra which is then used to determine explicit matrix
representations of the generators of this algebra. At the end a q-boson
realization of the generators of $ GL_q(n) $ is given.

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