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Paper IPM / P / 6501  


Abstract:  
A qanalogue 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 GL_{q}(n), and a qboson realization of the generators of
GL_{q}(n) is given. I also construct infinitedimensional Hilbertspace
representations of this algebra. The main result of this paper is stated in
proposition 8.
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