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

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可耕種

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 ? ? ?.

丑惡

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 ? ? ? the multivector calculus, multivectorial geometry and differential operators.

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創(chuàng)造性

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

Infirm

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

invulnerable

防止

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

Malfunction

978-3-7643-7790-8Birkh?user Basel 2007