An Elliptic Generalization of $A_1$ Spherical DAHA at $K=2$

S. Arthamonov, Sh. Shakirov

We construct an algebra that is an elliptic generalization of $A_1$ spherical DAHA acting on its finite-dimensional module at $t=-q^{-K/2}$ with $K=2$. We prove that $PSL(2,\mathbb…