Ms. James accepted this year’s nomination in the same hotel ballroom in Manhattan where Mr. Cuomo celebrated his election victory in 2018. Mr. Cuomo was not invited to the convention on Thursday, and his spokesman recently denied that Mr. Cuomo was interested in running for attorney general.The Cuomo-free convention made for a rare sight.His father, former Gov. Mario Cuomo, who served three terms, dominated conventions in the 1980s and 1990s. Andrew Cuomo later cast a shadow over the 2002 convention, when he famously withdrew his candidacy for governor on the eve of the event, acknowledging he did not have a path to victory against the party’s favored pick, Carl McCall. In 2006, he won the party’s endorsement for attorney general as he mounted a political comeback before being elected governor in 2010.Most of the party’s establishment, however, appears to have turned the page on Mr. Cuomo, who governed through ruthless tactics that left him with few, if any, political allies when he decided to resign or risk impeachment.“I haven’t heard anyone say his name and I think people are looking forward,” Pat Ryan, a Democrat and the executive of Ulster County, said shortly before Ms. James’s speech. “People don’t want us dwelling in the past.”Mr. Cuomo’s absence would have gone largely unacknowledged at the convention on Thursday had it not been for Ms. James’s speech, in which she also accused the Cuomo administration of lying to obfuscate the true extent of pandemic-related deaths in nursing homes.Her comments appeared to be the culmination of pent-up resentment following weeks of escalating attacks from the Cuomo camp, which has repeatedly denounced the investigation — which he authorized — as unfair and politically motivated just as Mr. Cuomo weighs how to re-enter public life.Indeed, after Ms. James’s speech, Richard Azzopardi, a spokesman for Mr. Cuomo, released a statement that accused her of being “a serial liar who continues to dodge answering a single substantive question about her sham report.” Mr. Cuomo’s lawyer said last week that he intended to file a professional misconduct complaint against Ms. James.On Thursday, Ms. James described herself as “the people’s lawyer,” thanking the delegates “for giving me the opportunity to carry your flag and to be your candidate to continue this work.”