No!! It is fraud and you could get into a lot of trouble. Any checks in the name of the deceased must be returned to Social Security. The only situation where you might possibly be entitled to part of it is if it was a payment that represents moneys for months prior to death. But the check with your father's name on it must be returned anyway, even if it turns out it could be reissued if it was an underpayment. Do not cash it!
