Dirac series of $\mathrm{GL}(n)$ over an Archimedean field

Yihao Ding, Hongfeng Zhang

Motivated by the $(\mathfrak{g},K)$-cohomology and Dirac cohomology, we determine Dirac series of $\mathrm{GL}(n,\mathbb{H})$, and show that the spin lowest $K$-type of any Dirac s…