Clifford Algebra

Clifford Algebra

In mathematics, Clifford algebras are a type of associative algebra. As K-algebras, they generalize the real numbers, complex numbers, quaternions and several other hypercomplex number systems. The theory of Clifford algebras is intimately connected with the theory of quadratic forms and orthogonal transformations. Clifford algebras have important applications in a variety of fields including geometry and theoretical physics. They are named after the English geometer William Kingdon Clifford.

The most familiar Clifford algebra, or orthogonal Clifford algebra, is also referred to as Riemannian Clifford algebra.

Read more about Clifford Algebra:  Introduction and Basic Properties, Universal Property and Construction, Basis and Dimension, Examples: Real and Complex Clifford Algebras, Structure of Clifford Algebras, The Clifford Group Γ, Spin and Pin Groups, Spinors

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