Comparing Bushnell-Kutzko and Sécherre's constructions of types for ${\mathrm{GL}}_N$ and its inner forms with Yu's construction

Arnaud Mayeux, Yuki Yamamoto

Let $F$ be a non-archimedean local field, $A$ be a central simple $F$-algebra, and $G$ be the multiplicative group of $A$. To construct types for supercuspidal representations of $…