by M. R. Grasselli, *Atas do XIII Colóquio de Iniciação
Científica IME-USP*, 33-36, 1996.

In papers written in the fifties, especially in the series * Quantum
Mechanics and Geometry *, Mario Schönberg introduces and analyzes several
algebraic structures obtained from simple geometric objects, such as vectors and
points. With these geometric algebras, he then proceedes to investigate a new algebraic
formalism for the physical world, in particular for quantum mechanics, based
on a deeper mathematical understanding of space-time and its relations with
other properties of matter. In this work, we single out a special anticommutative
algebra and, as an application to physics, relate it to the algebra of operators
for fermionic second quantization.

- pdf version, in English (translated by the author on Mar 13 2003).