Difference between revisions of "Clifford algebra"

From Wiki @ Karl Jones dot com
Jump to: navigation, search
(Created page with "In mathematics, '''Clifford algebras''' are a type of associative algebra. As K-algebras, they generalize the real numbers, complex numbers, quaternions and several other...")
 
(See also)
 
Line 18: Line 18:
 
* [[Clifford analysis]]
 
* [[Clifford analysis]]
 
* [[Clifford module]]
 
* [[Clifford module]]
* [[complex spin structure]]
+
* [[Complex spin structure]]
 
* [[Dirac operator]]
 
* [[Dirac operator]]
 
* [[Exterior algebra]]
 
* [[Exterior algebra]]
Line 25: Line 25:
 
* [[Geometric algebra]]
 
* [[Geometric algebra]]
 
* [[Higher-dimensional gamma matrices]]
 
* [[Higher-dimensional gamma matrices]]
* [[hypercomplex number]]
+
* [[Hypercomplex number]]
 
* [[Octonion]]
 
* [[Octonion]]
 
* [[Paravector]]
 
* [[Paravector]]
* [[quaternion]]
+
* [[Quaternion]]
 
* [[Spin group]]
 
* [[Spin group]]
 
* [[Spin structure]]
 
* [[Spin structure]]
 
* [[Spinor]]
 
* [[Spinor]]
* [[spinor bundle]]
+
* [[Spinor bundle]]
  
 
== External links ==
 
== External links ==

Latest revision as of 12:37, 13 September 2016

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.

Description

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, theoretical physics and digital image processing.

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.

See also

External links