Algebraic structures on space-time algebra
Copyright policy )Algebraic structures on space-time algebra
The real algebra of \(4\times 4\) matrices generated by Dirac's \(\gamma\)- matrices is a faithful representation of the real Clifford algebra of 4- dimensional Minkowski space-time \(M\) as a full matrix algebra. As found by D. Hestenes, it is possible to deal with the electromagnetic, the weak, and the strong fields in a matrix-free way by use of this Clifford algebra. The author presents a coherent survey of algebraic properties of this Clifford algebra.
- Technical University Eindhoven Netherlands
Clifford algebras, spinors, Dirac gamma-matrices, Numerical Analysis, Algebra and Number Theory, Applications of matrix theory to physics, Discrete Mathematics and Combinatorics, matrix algebra, Geometry and Topology, Clifford algebra, Spinor and twistor methods in general relativity and gravitational theory; Newman-Penrose formalism, Minkowski space-time
Clifford algebras, spinors, Dirac gamma-matrices, Numerical Analysis, Algebra and Number Theory, Applications of matrix theory to physics, Discrete Mathematics and Combinatorics, matrix algebra, Geometry and Topology, Clifford algebra, Spinor and twistor methods in general relativity and gravitational theory; Newman-Penrose formalism, Minkowski space-time
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