On generalized Steinberg theory for type AIII

Lucas Fresse, Kyo Nishiyama

Given a symmetric pair $(G,K)=({\mathrm{GL}}_{p+q}(\mathbb{C}),{\mathrm{GL}}_p(\mathbb{C})\times {\mathrm{GL}}_q(\mathbb{C}))$ of type AIII, we consider the diagonal action of $K$ on…