Abstract
Twisted composition algebras are somewhat similar to composition algebras, and the two notions are strongly interrelated. On the other hand, twisted composition algebras have close connections with Jordan algebras, which we will deal with in the next chapter. In fact, the motivation to set up this theory comes from exceptional Jordan algebras and twisted algebraic groups of type D4. In particular, the notion of reduced twisted composition algebra comes from reduced Jordan algebras. We refer to Ch. 6 for the details.
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