Alvin Ailey American Dance Theater is woven into the fabric of Newark — dancing at NJPAC’s opening night 26 years ago, and returning every year since. Each performance reveals new layers, new depth and new meaning, which is why so many return again and again for this Mother’s Day weekend tradition. The mixed repertory program will include the beloved bring-the-house-down classic, Revelations — a thrilling exaltation of African-American cultural heritage set to spirituals, song-sermons, gospel and holy blues.