The Clifford algebra Cℓ2n(C) is the ring generated by products of vectors in C2n subject to the relation
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In a field of mathematics known as representation theory pure spinors (or simple spinors) are spinor representations of the special orthogonal group that are annihilated by the largest possible subspace of the Clifford algebra.
Rodrigues is well known for his diverse research interests such as the applications of Clifford algebras, the study of extraordinary solutions of the relativistic wave equations, and the foundations of quantum mechanics and relativity; he has given several lectures on these subjects at international meetings.
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It is equipped to handle certain non-commutative algebras which are extensively used in theoretical high energy physics: Clifford algebras, SU(3) Lie algebras, and Lorentz tensors.
B. Hiley and R. E. Callaghan re-interpret the role of the Bohm model and its notion of quantum potential in the framework of Clifford algebra, taking account of recent advances that include the work of David Hestenes on spacetime algebra.