On the Howe correspondence and Harish-Chandra series

Jesua Epequin

We study the effect of the Howe correspondence on Harish-Chandra series for type I dual pairs (${\mathbf{U}}_m({\mathbb{F}}_q),{\mathbf{U}}_n({\mathbb{F}}_q$)) and ($\mathbf{Sp}_{2m}(\math…