Graded symmetry groups: plane and simple

DOI10.1007/s00006-023-01269-9zbMath1526.22015arXiv2107.03771OpenAlexW3181295159MaRDI QIDQ6039684

Martin Roelfs, Steven De Keninck

Publication date: 23 May 2023

Published in: Advances in Applied Clifford Algebras (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2107.03771

zbMATH Keywords

Lie groupsconformal groupLorentz groupWigner rotationinvariant decompositionpseudo-Euclidean groupgeometric gaugeMozzi-Chasles' theorem

Mathematics Subject Classification ID

Reflection and Coxeter groups (group-theoretic aspects) (20F55) Applications of Lie groups to the sciences; explicit representations (22E70) Clifford algebras, spinors (15A66)

Related Items (2)

Geometric invariant decomposition of SU(3) ⋮ Calculation of the exponential in arbitrary \(Cl_{p,q}\) Clifford algebra

Cites Work

• Conformal geometry for viewpoint change representation
• Clifford algebra to geometric calculus. A unified language for mathematics and physics
• Matrix representations of Clifford algebras
• Irreducible unitary representations of the Lorentz group
• Geometric invariant decomposition of SU(3)
• Lie groups as spin groups
• An Introduction to Clifford Algebras and Spinors
• Square Root and Logarithm of Rotors in 3D Conformal Geometric Algebra Using Polar Decomposition
• Space-Time Algebra
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