The Non-Toric Uq(sl2)-Symmetries on Quantum Polynomial Algebra kq[x±1,y].

In this paper, we present the complete list of U q (s l 2) -symmetries on quantum polynomial algebra k q [ x ± 1 , y ] in the case that the action of the generator K of U q (s l 2) is a non-toric automorphism. The conditions for the isomorphism of such structures are explored as well. [ABSTRACT FROM AUTHOR]