# Explicit Baker–Campbell–Hausdorff–Dynkin formula for spacetime via geometric algebra

@article{Wilson2021ExplicitBF, title={Explicit Baker–Campbell–Hausdorff–Dynkin formula for spacetime via geometric algebra}, author={Joseph Clement Wilson and Matt Visser}, journal={International Journal of Geometric Methods in Modern Physics}, year={2021} }

We present a compact Baker–Campbell–Hausdorff–Dynkin formula for the composition of Lorentz transformations [Formula: see text] in the spin representation (a.k.a. Lorentz rotors) in terms of their generators [Formula: see text]: [Formula: see text] This formula is general to geometric algebras (a.k.a. real Clifford algebras) of dimension [Formula: see text], naturally generalizing Rodrigues’ formula for rotations in [Formula: see text]. In particular, it applies to Lorentz rotors within the…

## One Citation

Current survey of Clifford geometric algebra applications

- MathematicsMathematical Methods in the Applied Sciences
- 2022

Clifford geometric algebra (GA) and Clifford analysis (also termed geometric calculus (GC)) is a rapidly developing field of pure and applied mathematics. In 2013 a popular survey98 was written about…

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