Introduction to Quaternary Numbers and Applications

• Grant number: 24/15335-2
• Support Opportunities: Scholarships in Brazil - Scientific Initiation
• Start date: October 01, 2024
• End date: September 30, 2025
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Geometry and Topology
• Principal Investigator: Raimundo Nonato Araújo dos Santos
• Grantee: Marcelo Martins Conti
• Host Institution: Instituto de Ciências Matemáticas e de Computação (ICMC). Universidade de São Paulo (USP). São Carlos , SP, Brazil
• Associated research grant: 19/21181-0 - New frontiers in Singularity Theory, AP.TEM

Abstract

In this project we intend to develop a geometric study of the quaternary numbers aiming to develop their main relationships with matrix groups of rotations and their applications in symmetry problems in R^3 and rotations problems of 3D-images.