Abstract

We study the homogeneous space of the quantum group U_q(n) related to the subgroup U_q(n − m) (m < n), classify its irreducible representations and get a formula for its invariant integral. We also study the double cosets U_q(n − m)∖U_q(n) ∕ U_q(n − m) and the hypergroup structure associated with them.

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