Dirac Cohomology and Unitarizable Supermodules over Lie Superalgebras of
Type $A(m\vert n)$
Dirac Cohomology and Unitarizable Supermodules over Lie Superalgebras of
Type $A(m\vert n)$
Dirac operators and Dirac cohomology for Lie superalgebras of Riemannian type, as introduced by Huang and Pand\v{z}i\'{c}, serve as a powerful framework for studying unitarizable supermodules. This paper explores the relationships among the Dirac operator, Dirac cohomology, and unitarizable supermodules specifically within the context of the basic classical Lie superalgebras …