Santiago Pineda Montoya

activity

20212026

collaborators

4 papers

math.RA2026

Quaternionic Reflections and Lie Generation in $G_{2}$

Santiago Pineda Montoya, Johan H. Rúa Muñoz, Borut Jurčič Zlobec

Let $O$ be the real octonion division algebra and $g_{2} = Der (O)$ . A quaternionic reflection $T \in G_{2} = Aut (O)$ fixes a…

math.QA2026

Operational Foundations for Quaternionic and Octonionic Quantum Models: Exact Quaternionic Channels and Error Correction, Para-Linear Operators, and Categorical Closure Boundaries Beyond Associativity

Santiago Pineda Montoya, Johan H. Rua Munoz

A scalar field alone does not determine a quantum theory: states, effects, processes, symmetries, composition, and discard are equally structural. Realification illustrates this po…

cs.LG2024

Towards Enhanced RAC Accessibility: Leveraging Datasets and LLMs

Edison Jair Bejarano Sepulveda, Nicolai Potes Hector, Santiago Pineda Montoya +5

This paper explores the potential of large language models (LLMs) to make the Aeronautical Regulations of Colombia (RAC) more accessible. Given the complexity and extensive technic…

math.AT2021

Chern-Weil theory for $\infty$ -local systems

Camilo Arias Abad, Santiago Pineda Montoya, Alexander Quintero Velez

Let $G$ be a compact connected Lie group. We show that the category $Loc_{\infty} (B G)$ of $\infty$ -local systems on the classifying space of $G$ , can be described infinite…

Quaternionic Reflections and Lie Generation in G2​

Operational Foundations for Quaternionic and Octonionic Quantum Models: Exact Quaternionic Channels and Error Correction, Para-Linear Operators, and Categorical Closure Boundaries Beyond Associativity

Towards Enhanced RAC Accessibility: Leveraging Datasets and LLMs

Chern-Weil theory for ∞-local systems

Quaternionic Reflections and Lie Generation in $G_{2}$

Chern-Weil theory for $\infty$ -local systems