WASHINGTON — President Obama rejected the views of top lawyers at the Pentagon and the Justice Department when he decided that he had the legal authority to continue American military participation in the air war in Libya without Congressional authorization, according to officials familiar with internal administration deliberations. Jeh C. Johnson, the Pentagon general counsel, and Caroline D. Krass, the acting head of the Justice Department’s Office of Legal Counsel, had told the White House that they believed that the United States military’s activities in the NATO-led air war amounted to “hostilities.” Under the War Powers Resolution, that would have...