“School of Physic”
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| Paper IPM / Physic / 6484 |
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| Abstract: | |
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Although q-oscillators have been used extensively for realization of quantum
universal enveloping algebras, such realizations do not exist for quantum
matrix algebras (deformation of the algebra of functions on the group). In this
letter we first construct an infinite dimensional representation of the quantum
matrix algebra Mq(3) (the coordinate ring of GLq(3)) and then use this
representation to realize GLq(3) by q-bosons.
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