“Hamilton” has become an industry-changing phenomenon since its Broadway premiere in 2015. But the show has its detractors: One manifestation of this criticism will take the stage this weekend in New York.

It is a reading of a play by Ishmael Reed, “The Haunting of Lin-Manuel Miranda,” which will be held at the Nuyorican Poets Cafe on the Lower East Side and will run through Jan. 7.

The play, directed by Rome Neal, will take aim at what Mr. Reed — a prominent and prolific satirical writer who was awarded a MacArthur Grant in 1998 — believes are inaccuracies with “Hamilton.” Some academics have long said the show glosses over the role of slavery of the period and have criticized the way Alexander Hamilton is presented. Mr. Neal said in a phone interview that Mr. Reed began writing his play at the beginning of last year.

“He was talking about this subject a lot: ‘How they could put up a play about Hamilton and call him an abolitionist when he was a slave trader?’” Mr. Neal said.