Abstract

In this paper, we construct explicitly the intertwining differential operators for the Jacobi algebra [Formula: see text]. For the construction, we use the singular vectors of the Verma modules over [Formula: see text] which we have constructed earlier. We construct the function spaces on which the operators act. We find two versions of the left (representation) action and the right action. These actions are combined with the singular vectors to provide the intertwining differential operators.

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