Composition Algebra

Algebra with a quadratic form that respects multiplication — the setting of Hurwitz's classification theorem.

Specifications & Metrics

type

Algebraic Properties

Core Principles & Analysis

• An algebra equipped with a quadratic form that composes: N(xy) = N(x)N(y).
• Every composition algebra is an alternative algebra.
• For consistent terminology, dimension-1 composition algebras have been called unarion and dimension-2 ones binarion.

Sources

• Wikipedia: Composition algebra