João Dias

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math.RT2024

Shintani descent for standard supercharacters of algebra groups

Carlos A. M. André, Ana L. Branco Correia, João Dias

Let $A (q)$ be a finite-dimensional nilpotent algebra over a finite field $F_{q}$ with $q$ elements, and let $G (q) = 1 + A (q)$ . On the other hand, let $\B…

math.RT2024

Smooth representations of involutive algebra groups over non-archimedean local fields

Carlos A. M. André, João Dias

An algebra group over a field $F$ is a group of the form $G = 1 + J$ where $J$ is a finite-dimensional nilpotent associative $F$ -algebra. A theorem of M. Boyarchenko asserts that, in…