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math.RA2019
Some extensions of quaternions and symmetries of simply connected space forms
Gerardo Arizmendi, Marco Antonio Pérez-de la Rosa
It is known that the groups of Euclidean rotations in dimension 3 (isometries of ), general Lorentz transformations in dimension 4 (Hyperbolic isometries in dimension 3), and…
math.DG2019
A binary encoding of spinors and applications
Gerardo Arizmendi, Rafael Herrera
We present a binary code for spinors and Clifford multiplication using non-negative integers and their binary expressions, which can be easily implemented in computer programs for…