2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/64670Using the cubic Dirac operator and an extended notion of Dirac cohomology we generalize results of Huang-Pandzic, which appeared in JAMS (Sept. 6, 2001 electronic) on a conjecture of D. Vogan35 pages, plain texRepresentation TheoryRings and Algebras22E46, 22E47, 22E70 (Primary) 22F30 (Secondary)text