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{{Template:Math-h}}

{{Math-h}}

In [[mathematics]], a '''quaternion''' is a four-dimensional [[object]] important in [[group theory]] and [[geometry]]. As with the complex numbers, the quaternions can be viewed as an extension of the [[real number]] line.  Unlike the complex numbers, however, the quaternions are not a [[field]], since multiplication is not commutative.  Instead, the quaternions are a [[skew field]].

In [[mathematics]], a '''quaternion''' is a four-dimensional [[object]] important in [[group theory]] and [[geometry]]. As with the complex numbers, the quaternions can be viewed as an extension of the [[real number]] line.  Unlike the complex numbers, however, the quaternions are not a [[field]], since multiplication is not commutative.  Instead, the quaternions are a [[skew field]].

==References==

==References==

Weisstein, Eric W. "Quaternion." From MathWorld--A Wolfram Web Resource. http://mathworld.wolfram.com/Quaternion.html  

Weisstein, Eric W. "Quaternion." From MathWorld—A Wolfram Web Resource. http://mathworld.wolfram.com/Quaternion.html  

[[Category:Mathematics]]

[[Category:Mathematics]]