62 citations · 196 across the 18 of their papers we have counts for
18 papers
On Clifford Algebras and Related Finite Groups and Group Algebras
Rafal Ablamowicz
Albuquerque and Majid have shown how to view Clifford algebras $\cl_{p,q}$ as twisted group rings whereas Chernov has observed that Clifford algebras can be viewed as images of gro…
On the Structure Theorem of Clifford Algebras
Rafal Ablamowicz
In this paper, theory and construction of spinor representations of real Clifford algebras $\cl_{p,q}$ in minimal left ideals are reviewed. Connection with a general theory of semi…
Bilinear Covariants and Spinor Fields Duality in Quantum Clifford Algebras
Rafal Ablamowicz, Icaro Gonçalves, Roldao da Rocha
Classification of quantum spinor fields according to quantum bilinear covariants is introduced in a context of quantum Clifford algebras on Minkowski spacetime. Once the bilinear c…
Symbolic Computations in Higher Dimensional Clifford Algebras
Rafal Ablamowicz, Bertfried Fauser
We present different methods for symbolic computer algebra computations in higher dimensional (\ge9) Clifford algebras using the \Clifford\ and \Bigebra\ packages for \Maple(R). Th…
On parallelizing the Clifford algebra product for CLIFFORD
Rafal Ablamowicz, Bertfried Fauser
We present, as a proof of concept, a way to parallelize the Clifford product in CL_{p,q} for a diagonalized quadratic form as a new procedure `cmulWpar' in the \Clifford package fo…
Square Roots of -1 in Real Clifford Algebras
Eckhard Hitzer, Jacques Helmstetter, Rafal Ablamowicz
It is well known that Clifford (geometric) algebra offers a geometric interpretation for square roots of -1 in the form of blades that square to minus 1. This extends to a geometri…