Point Groups and Space Groups in Geometric Algebra

By D. Hestenes. 2002

74 citations recorded by the source corpus.

Subfields: Algebra and Number Theory, Applied Mathematics

View Paper: https://www.semanticscholar.org/paper/3a254c3b2e2d6486463cedc7ad2baf190cc2057d

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Algebra and Number Theory

1. A. Macdonald

In Applied Mathematics

1. A. Macdonald

Citations in the corpus

• A Survey of Geometric Algebra and Geometric Calculus (2017, background): “The angle θ between A and B is given by a ratio of j-volumes (j = grade(A)): cos θ = |PB(A)|/|A| = |A ·B|/|A| |B| .(4) For example, the angle between the line A = e2 + e3 and the plane B = e1e2 is π/4.”
• Oersted Medal Lecture 2002: Reforming the mathematical language of physics (2003, methodology): “For an algebraic proof that the result does not depend on the reflecting planes, we use (17) to write U = ba = cos (1)2θ + i sin (1)2θ = e 1 2 i , (41) where, anticipating the result from Fig.”