The Massachusetts attorney general's office said that it will review whether the board of Beth Israel Deaconess Medical Center appropriately handled a "lapse of judgment" by its chief executive, Paul Levy, and whether charitable funds were misspent because of a personal relationship he had with an employee. During a meeting, the board voted to send Attorney General Martha Coakley a letter, asking her to review its actions regarding Levy. Those actions included a decision last week to fine Levy $50,000 for showing poor judgment in his relationship with a female employee, but the board has not disclosed details of its investigation or what Levy's lapse of judgment entailed.