Representations of the Dynamical Affine Quantum Group $U_{q,x}(\widehat{sl_2})=U_{q,\lambda}(\widehat{sl_2})$ and Hypergeometric Functions

The representation theory of the Hopf algebroid $U_{q, x} (\hat{s l_{2}}) = U_{q, λ} (\hat{s l_{2}})$ is initiated and it is established that the intertwiner between the tensor products of dynamical evaluation modules is a well-poised balanced $_{10} W_{9}$ symbol, confirming a conjecture of Konno, that the degeneration of the elliptic $_{12} V_{11}$ series to $_{10} W_{9}$ can be proven based on the representation theory of $U_{q, x} (\hat{s l_{2}})$ , the degeneration of the elliptic algebra $U_{q, p} (\hat{s l_{2}})$ as $p \to 0$ .

Representations of the Dynamical Affine Quantum Group $U_{q, x} (\hat{s l_{2}}) = U_{q, λ} (\hat{s l_{2}})$ and Hypergeometric Functions

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Representations of the Dynamical Affine Quantum Group $U_{q, x} (\hat{s l_{2}}) = U_{q, λ} (\hat{s l_{2}})$ and Hypergeometric Functions

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Representations of the Dynamical Affine Quantum Group Uq,x(sl2^)=Uq,λ(sl2^)Uq,x​(sl2​​)=Uq,λ​(sl2​​) and Hypergeometric Functions

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Representations of the Dynamical Affine Quantum Group Uq,x(sl2^)=Uq,λ(sl2^)Uq,x​(sl2​​)=Uq,λ​(sl2​​) and Hypergeometric Functions

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Representations of the Dynamical Affine Quantum Group $U_{q, x} (\hat{s l_{2}}) = U_{q, λ} (\hat{s l_{2}})$ and Hypergeometric Functions

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Representations of the Dynamical Affine Quantum Group $U_{q, x} (\hat{s l_{2}}) = U_{q, λ} (\hat{s l_{2}})$ and Hypergeometric Functions

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