João Dias

collaborators

3 papers

math.GR2026

The Geometry of Pattern Groups

João Dias, Claudio Alexandre Piedade

Coset incidence geometries are an important tool which connect group theory and geometry. While the representations of the unitriangular group and its pattern subgroups have been s…

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…