Abstract :
In this paper we show that the defining relations and central elements of degree two of the algebra A(E, τ) defined by E. K. Sklyanin in [4] satisfy simple functional equations. These equations allow us to give shorter proofs of some results in [1, 5, 7]. We also give an explicit construction of most line modules over A(E, τ) and describe the annihilators of these modules.
