Titlebook: Quaternions, Clifford Algebras and Relativistic Physics; Patrick R. Girard Textbook 2007 Birkhäuser Basel 2007 Clifford algebra.Relativity

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Complex quaternions,From the very beginning of special relativity, complex quaternions have been used to formulate that theory [45]. This chapter establishes the expression of the Lorentz group using complex quaternions and gives a few applications. Complex quaternions constitute a natural transition towards the Clifford algebra ℍ ⊗ ℍ.

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Clifford algebra,Clifford having demonstrated that the Clifford algebra is isomorphic to a tensor product of quaternion algebras or to a subalgebra thereof, this chapter develops within ℍ ⊗ ℍ the multivector calculus, multivectorial geometry and differential operators.

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General relativity,The general theory of relativity is developed within the Clifford algebra ℍ ⊗ ℍ over ℝ. Einstein’s equations and the equation of motion are given as well as applications such as the Schwarzschild metric and the linear approximation.

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Patrick R. GirardFirst book presenting Clifford algebras in an algebraic way in terms of a tensor product of quaternion algebras with applications to relativistic physics.The quaternion group consequently appears as a

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https://doi.org/10.1007/978-3-7643-7791-5Clifford algebra; Relativity; Special relativity; Symmetry group; algebra; electromagnetism; general relat

Malfunction

978-3-7643-7790-8Birkhäuser Basel 2007