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

V. Karimipour

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arXiv · hep-th/9311150

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

V. Karimipour

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Abstract

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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V. Karimipour. 1993-11-25. Representations and Q-Boson Realization of the Algebra of Functions on the Quantum Group GLq(N). https://arxiv.org/abs/hep-th/9311150

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