“School of Physic”
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| Paper IPM / Physic / 6501 |
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| Abstract: | |
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A q-analogue of the root system is constructed for this algebra which is
similar to the root system of classical Lie algebras. It is then used to
construct, in detail, a class of representations of the algebra of functions on
the quantum group GLq(n), and a q-boson realization of the generators of
GLq(n) is given. I also construct infinite-dimensional Hilbert-space
representations of this algebra. The main result of this paper is stated in
proposition 8.
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