Ricardo Su'arez

activity

20172025

collaborators

5 papers

math.DG2025

$U (n)$ -structures and their induced minimal left ideals

Ricardo Suárez

In previous work, we associated to $SU(3)$ , $G_{2}$ , and $Spin(7)$ -structures minimal left ideals for the Clifford algebras $\mathbb{R}_{0,6},\mathbb{R}_{0…

math.LO2025

The countable condensation on linear orders

Jennifer Brown, Ricardo Suárez

The countable condensation on a linear order $L$ is the equivalence relation $\sim_{ω}$ defined by declaring $x \sim_{ω} y$ when the set of points between $x$ and $y$ is countable. We c…

math.LO2025

Algebraic structures arising from the finite condensation on linear orders

Jennifer Brown, Ricardo Suárez

The finite condensation $\sim_{F}$ is an equivalence relation defined on a linear order $L$ by $x \sim_{F} y$ if and only if the set of points lying between $x$ and $y$ is finite. We d…

math.AG2024

Group theoretic properties of Clifford multiplication on 2-torsion points on the Dirac Spinor Abelian Variety

Jennifer Brown, Ivona Grzegorczyk, Ricardo Suárez

In this manuscript we consider a special complex torus, denoted $S_{Δ_{2 k}}$ (for each $k \in N, k \geq 1$ ) and called the Dirac spinor torus. It is an Abelian variety o…

math.AG2017

Generating sets for Clifford Algebras

Brian Sittinger, Ricardo Suárez, Alfonso Zamora

The aim of this paper is to find generating sets of commuting involutions and use them to explicitly construct minimal representations of Clifford algebras $C l (n)_{p, q}$ . By result…