Abstract
We study the reduction of the left regular representation of the quantum algebra Uqso(5). This yields induced representations of Uqso(5) on some quotient space of the matrix quantum group SOq(5). To facilitate the construction of a suitable basis the Gauss decomposition of SOq(5) is worked out explicitly. We then investigate the behavior of these representations for a generic q as well as when q is an Nth root of unity leading to some finite dimensional irreducible representations of Uqso(5). Two basic intertwining operators are also constructed via the right action.
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