Representations of Clifford Algebras and its Applications

1994/08/29 by Susumu Okubo
Physics and Astronomy · #hep-th

paper · pdf

published as Math.Jap. 41 (1995) 59-79 · 30 pages, UR1377

arxiv created 1994/08/29 · arxiv updated 2009/11/30

Abstract

A real representation theory of real Clifford algebra has been studied in further detail, especially in connection with Fierz identities. As its application, we have constructed real octonion algebras as well as related octonionic triple system in terms of 8-component spinors associated with the Clifford algebras C(0,7) and C(4,3).

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