Representations and Q-Boson Realization of the Algebra of Functions on the Quantum Group GLq(N)
Abstract
We present a detailed study of the representations of the algebra of functions on the quantum group GLq(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 GLq(n) is given.
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