Invariant triple functionals over $U_q\frak{sl}_2$

preprint2013arXivOpen access

We define a $q$ -deformation of Jacquet-Langlands principal series representations of $GL_2(R)$ and prove the uniqueness of an invariant triple functional on them using the method of H.Y.Loke.

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Invariant triple functionals over $U_q\frak{sl}_2$

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Invariant triple functionals over Uqsl2U_q\frak{sl}_2Uq​sl2​

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Invariant triple functionals over $U_q\frak{sl}_2$