Abstract
Our approach to spinors is based on Clifford algebras and their representations. It is convenient to present first the relevant notions in the general context of associative algebras. In particular, we show how the existence of a preferred inner product in the representation space of a simple algebra is related to that of an involutive antiautomorphism of the algebra.
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© 1988 Springer-Verlag Berlin Heidelberg
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Budinich, P., Trautman, A. (1988). Algebras and their Representations. In: The Spinorial Chessboard. Trieste Notes in Physics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-83407-3_4
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DOI: https://doi.org/10.1007/978-3-642-83407-3_4
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-19078-3
Online ISBN: 978-3-642-83407-3
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