For simple quotients B_{\alpha,\beta} of U_q^+(so5) with \alpha\beta\neq 0, all derivations are inner and HH^1 is zero, so these algebras behave like the quantum first Weyl algebra.
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For simple quotients B_{\alpha,\beta} of U_q^+(so5) with \alpha\beta\neq 0, all derivations are inner and HH^1 is zero, so these algebras behave like the quantum first Weyl algebra.