Real representations of finite Clifford algebras. II. Explicit construction and pseudo-octonion

Journal Article · Mon Jul 01 00:00:00 EDT 1991 · Journal of Mathematical Physics (New York); (USA)

DOI:https://doi.org/10.1063/1.529278· OSTI ID:5535685

Okubo, S ^[1]

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1. Department of Physics and Astronomy, University of Rochester, Rochester, New York 14627 (USA)

It has been shown that any real irreducible representation of any {ital C}({ital p},{ital q}) can be, in principle, explicitly constructed inductively. The relation between the pseudo-octonion algebra and {ital C}(8,0) as well as {ital C}(0,8) has also been investigated in some detail. Finally, dimensions of the real spinor representations of SO({ital p},{ital q}) have been studied.

• DOE Contract Number: AC02-76ER13065
• OSTI ID: 5535685
• Journal Information: Journal of Mathematical Physics (New York); (USA), Journal Name: Journal of Mathematical Physics (New York); (USA) Vol. 32:7; ISSN JMAPA; ISSN 0022-2488
• Country of Publication: United States
• Language: English

Related Subjects

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657002* -- Theoretical & Mathematical Physics-- Classical & Quantum Mechanics
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
CLIFFORD ALGEBRA
COMMUTATION RELATIONS
DIRAC OPERATORS
IRREDUCIBLE REPRESENTATIONS
MATHEMATICAL OPERATORS
MATRICES
QUANTUM OPERATORS
SPINORS