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A plain man’s guide to bivectors, biquaternions, and the algebra and geometry of Lorentz transformations. (English) Zbl 0980.53110

Harvey, Alex (ed.), On Einstein’s path: essays in honor of Engelbert Schücking. A symposium, New York Univ., New York, NY, USA, December 12-13, 1996. New York, NY: Springer. 407-433 (1999).
Authors’ abstract: We here present an elementary account of the algebra and geometry of bivectors and of the biquaternions they give rise to. We then proceed to show how the latter allow a detailed study of the algebra and geometry of Lorentz transformations.
For the entire collection see [Zbl 0913.00041].

MSC:

53Z05 Applications of differential geometry to physics
83A05 Special relativity
15A75 Exterior algebra, Grassmann algebras
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