Star-product on complex sphere $\mathbb{S}^{2n}$
  We construct a $U_q(\mathrm{so}(2n+1))$-equivariant local star-product on the complex sphere $\mathbb{S}^{2n}$ as a Non-Levi conjugacy class $SO(2n+1)/SO(2n)$. 
Andrey Mudrov
math.QA