Sharp estimates for the Schr\"odinger equation associated to the twisted Laplacian

In this note we obtain some Strichartz estimates for the Schr"odinger equation associated to the twisted Laplacian on $$\mathbb{C}$^{n}\cong $\mathbb{R}$^{2n}$. The initial data will be considered in suitable Sobolev spaces associated to the twisted Laplacian.