Adam Clarke on Acts 2:33

By the right hand of God exalted - Raised by omnipotence to the highest dignity in the realms of glory, to sit at the right hand of God, and administer the laws of both worlds.

The promise of the Holy Ghost - This was the promise that he had made to them a little before he suffered, as may be seen in Joh 14:16, etc., Joh 16:7, etc., and after he had risen from the dead. Luk 24:49, and which as the apostle says was now shed forth.