Abstract
We consider the quantum symmetric pair (mathcal {U}_{q}(mathfrak {su}(3)), mathcal {B}) where mathcal {B} is a right coideal subalgebra. We prove that all finite-dimensional irreducible representations of mathcal {B} are weight representations and are characterised by their highest weight and dimension. We show that the restriction of a finite-dimensional irreducible representation of mathcal {U}_{q}(mathfrak {su}(3)) to mathcal {B} decomposes multiplicity free into irreducible representations of mathcal {B}. Furthermore we give explicit expressions for the highest weight vectors in this decomposition in terms of dual q-Krawtchouk polynomials.
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