“School of Physic”
Back to Papers HomeBack to Papers of School of Physic
Paper IPM / Physic / 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.
Download TeX format 

back to top 