In William Shakespeare's play "King Lear," the Duke of Burgundy is a minor character who appears in the first act. His role is primarily to serve as a suitor to King Lear's youngest daughter, Cordelia. At the beginning of the play, King Lear decides to divide his kingdom among his three daughters based on their professions of love for him. Cordelia, however, refuses to flatter Lear with exaggerated declarations, leading to her disinheritance.

The Duke of Burgundy is initially interested in marrying Cordelia, but when Lear disowns her and offers her no dowry, Burgundy withdraws his proposal. This contrasts with the King of France, who values Cordelia for her virtues and marries her despite her lack of a dowry. Burgundy's decision highlights themes of materialism and the superficial nature of some relationships, as opposed to the genuine love and respect shown by the King of France.

Overall, the Duke of Burgundy's role underscores the play's exploration of loyalty, love, and the consequences of valuing wealth and power over personal integrity and genuine affection.