Final answer:
Oedipus is not the father and half-brother of Antigone in the play Antigone by Sophocles.
Step-by-step explanation:
No, Oedipus is not the father and half-brother of Antigone. In the play Antigone by Sophocles, Oedipus is the father of Antigone, but he is not her half-brother. Oedipus is the son of Laius and Jocasta, and Antigone is his daughter with Jocasta. Oedipus's tragic fate involves unknowingly marrying his mother and killing his father, but there is no mention of him being the half-brother of Antigone.