Projective group representations in quaternionic Hilbert space

DOI10.1063/1.531514zbMath0881.46053arXivhep-th/9601047OpenAlexW2073699504MaRDI QIDQ5284280

Stephen L. Adler

Publication date: 19 February 1998

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

Full work available at URL: https://arxiv.org/abs/hep-th/9601047

zbMATH Keywords

associativityquaternionic Hilbert spaceprojective group representationsgenerator structuremulti-central and central assumptions

Mathematics Subject Classification ID

Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Applications of functional analysis in quantum physics (46N50)

Related Items (8)

Comments on a recent paper by S. Adler on projective group representations in quaternionic Hilbert spaces ⋮ Quaternionic electroweak theory and Cabibbo-Kobayashi-Maskawa matrix ⋮ An algorithm for eigenvalues and eigenvectors of quaternion matrices in quaternionic quantum mechanics ⋮ Response to the Comment by G. Emch on projective group representations in quaternionic Hilbert space ⋮ Dirac’s magnetic monopole and the Kontsevich star product ⋮ Central projective quaternionic representations ⋮ A rejoinder on quaternionic projective representations ⋮ On the structure of projective group representations in quaternionic Hilbert space

Cites Work

• On unitary ray representations of continuous groups
• Note on Wigner's Theorem on Symmetry Operations
• Symmetry in Quantum Theory

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