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Quadratic independence of coordinate functions of certain homogeneous spaces and action of compact quantum groups

Quadratic independence of coordinate functions of certain homogeneous spaces and action of compact quantum groups

Let G be one of the classical compact, simple, centre-less, connected Lie groups of rank n with a maximal torus T, the Lie algebra $\mathcal {G}$ and let {E i ,F i ,H i ,i=1,…,n} be the standard set of generators corresponding to a basis of the root system. Consider …