João Dias

collaborators

4 papers

math.RA2024

Flasque Meadows

João Dias, Bruno Dinis

In analogy with flasque sheaves, we introduce the notion of flasque meadow as a common meadow where the transition maps are all surjective. We study some properties of flasque mead…

math.RA2024

Artinian Meadows

João Dias, Bruno Dinis

We introduce the notion of Artinian meadow as an algebraic structure constructed from an Artinian ring which is also a common meadow, i.e.\ a commutative and associative structure…

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…