The equitable presentation for the quantum group νq(sl2)

We introduce a new Hopf algebra Aq(sl2), consider the equitable presentation of the quantum group νq(sl2), and prove that the algebra νq(sl(2)) is a homomorphic image of Aq(sl2). We also give some properties of the equitable generators of νq(sl2).We introduce a new Hopf algebra Aq(sl2), consider the equitable presentation of the quantum group νq(sl2), and prove that the algebra νq(sl(2)) is a homomorphic image of Aq(sl2). We also give some properties of the equitable generators of νq(sl2).