5 v 1 2 9 A ug 1 99 4 REPRESENTATIONS OF CLIFFORD ALGEBRAS AND ITS APPLICATIONS
نویسنده
چکیده
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).
منابع مشابه
Canonical bases for real representations of Clifford algebras
The well-known classification of the Clifford algebrasCl(r, s) leads to canonical forms of complex and real representations which are essentially unique by virtue of the Wedderburn theorem. For s ≥ 1 representations of Cl(r, s) on R are obtained from representations on R by adding two new generators while in passing from a representation of Cl(p, 0) on R to a representation of Cl(r, 0) on R the...
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