Geometric quantization and unitary highest weight Harish-Chandra
supermodules
Geometric quantization and unitary highest weight Harish-Chandra
supermodules
Geometric quantization transforms a symplectic manifold with Lie group action to a unitary representation. In this article, we extend geometric quantization to the super setting. We consider real forms of contragredient Lie supergroups with compact Cartan subgroups, and study their actions on some pseudo-K\"ahler supermanifolds. We construct their unitary representations …