Notes on quaternionic group representations

DOI10.1007/BF00670780zbMath0842.20016MaRDI QIDQ1909328

Luigi Solombrino, Giuseppe Scolarici

Publication date: 21 July 1996

Published in: International Journal of Theoretical Physics (Search for Journal in Brave)

zbMATH Keywords

finite groupsreducible representationsorthogonality relationsClebsch-Gordan seriesquaternionic group representations

Mathematics Subject Classification ID

Applications of group representations to physics and other areas of science (20C35)

Related Items (8)

Randomized quaternion QLP decomposition for low-rank approximation ⋮ Accuracy and stability of quaternion Gaussian elimination ⋮ On condition numbers of quaternion matrix inverse and quaternion linear systems with multiple right-hand sides ⋮ Quaternionic representations of magnetic groups ⋮ Quaternion algebra on 4D superfluid quantum space-time: gravitomagnetism ⋮ Central projective quaternionic representations ⋮ Quaternionic symmetry groups and particle multiplets ⋮ SPACE–TIME DISCRETE ℚ-SYMMETRIES IMPLEMENTED AS INTERNAL SYMMETRIES

Cites Work

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• Quaternionic quantum field theory
• Generalized FS×W versus Dyson’s classification of irreducible representations
• Quaternionic Representations of Compact Groups
• Definition of determinant and cramer solutions over the quaternion field
• LII. An essay towards solving a problem in the doctrine of chances. By the late Rev. Mr. Bayes, F. R. S. communicated by Mr. Price, in a letter to John Canton, A. M. F. R. S
• The Threefold Way. Algebraic Structure of Symmetry Groups and Ensembles in Quantum Mechanics
• Matrix groups

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