# non associative algebras – Conceptual acceptation of the Dickson development Answer

Hello expensive customer to our community We will proffer you an answer to this query non associative algebras – Conceptual acceptation of the Dickson development ,and the respond will breathe typical by way of documented data sources, We welcome you and proffer you fresh questions and solutions, Many customer are questioning in regards to the respond to this query.

non associative algebras – Conceptual acceptation of the Dickson development

The Cayley-Dickson development (a.okay.a. Dickson development or Dickson doubling) constructs a fresh *-algebra $$A’$$ out of a given *-algebra $$A$$. As a vector house $$A’ = A oplus A$$, and the multiplication and *-involution on $$A’$$ are usually outlined in a considerably advert hoc method (Wikipedia article, nlab article, Baez “The octonions” or too within the bespeak of Schafer on Non-associative algebras).

Is there a conceptual definition of $$A’$$ that doesn’t contain any elementary fiddling round (e.g. in organize to show statements corresponding to: $$A’$$ is associative iff $$A$$ is commutative and associative)?

we’ll proffer you the answer to non associative algebras – Conceptual acceptation of the Dickson development query by way of our community which brings all of the solutions from a number of dependable sources.