• Corpus ID: 235765240

# Graded Symmetry Groups: Plane and Simple

@article{Roelfs2021GradedSG,
title={Graded Symmetry Groups: Plane and Simple},
author={Martin Roelfs and Steven De Keninck},
journal={ArXiv},
year={2021},
volume={abs/2107.03771}
}
• Published 8 July 2021
• Mathematics
• ArXiv
The symmetries described by Pin groups are the result of combining a finite number of discrete reflections in (hyper)planes. The current work shows how an analysis using geometric algebra provides a picture complementary to that of the classic matrix Lie algebra approach, while retaining information about the number of reflections in a given transformation. This imposes a graded structure on Lie groups, not evident in their matrix representation. By embracing this graded structure, the…
4 Citations

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