Modular quantizations of lie algebras of cartan type H via drinfel’d twists

We construct explicit Drinfel’d twists for the Lie algebras of generalized Cartan type H in characteristic 0 and also obtain the corresponding quantizations and their integral forms. By using modular reduction and base changes, we derive certain quantizations of the restricted universal enveloping algebra u(H(2n; 1)) of the restricted Hamiltonian algebra H(2n; 1) in prime characteristic p. These quantizations are new non-pointed Hopf algebras of prime-power dimension p^p2n−1 and contain the well-known Radford algebras as Hopf subalgebras. As a by-product we also obtain some Jordanian quantizations of sp_2n.