Representations of the Three-Dimensional Rotation Group in Terms of Direction and Angle of Rotation

DOI10.1063/1.1664533zbMath0162.58601OpenAlexW1964400321MaRDI QIDQ5546677

Moshe Carmeli

Publication date: 1968

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.1664533

zbMATH Keywords

irreducible representationsthree-dimensional rotation groupWeyl method

Mathematics Subject Classification ID

Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Structure and representation of the Lorentz group (22E43)

Related Items (5)

Group-Theoretic Approach to the New Conserved Quantities in General Relativity ⋮ Crystallographic texture and group representations ⋮ A minimal atlas for the rotation group SO(3) ⋮ Representations of the three-dimensional rotation group by the direct method ⋮ Irreducible tensorial sets within the group algebra of a compact group

Cites Work

• Irreducible representations of the rotation group in terms of the axis and angle of rotation
• Irreducible representations of the rotation group in terms of the axis and angle of rotation. II: Orthogonality relations between matrix elements and representations of rotations in the parameter space
• Representations of the group of rotations of 3-dimensional space and their applications
• Irreducible representations of the rotation group in terms of Euler's theorem
• Spin-s Spherical Harmonics and ð

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