Homological branching law for $({\mathrm{GL}}_{n+1}(F),{\mathrm{GL}}_n(F))$: projectivity and indecomposability

Kei Yuen Chan

Let $F$ be a non-Archimedean local field. This paper studies homological properties of irreducible smooth representations restricted from ${\mathrm{GL}}_{n+1}(F)$ to $\mathrm{GL}_n(F…