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Factorization with respect to Quaternions

• To: mathgroup at smc.vnet.net
• Subject: [mg114869] Factorization with respect to Quaternions
• From: "Dr. Robert Kragler" <kragler at hs-weingarten.de>
• Date: Tue, 21 Dec 2010 00:17:49 -0500 (EST)
• Reply-to: kragler at hs-weingarten.de

Hi,

I am looking for an extension of the built-in routine Factor to factorization 
with respect to quaternions. Factor has an option "GaussianIntegers->True" which 
allows, e.g. x^2+y^2 =>(x+I y)(x-I y). For expressions such x^2+y^2+z^2+t^2 (and 
similar constructs) factorization into the product of q=(x+I y+ J z + K t) and 
q^* (the conjugate quaternion) would be useful.
Does anybody knows such an extension (or how it could be done) for the routine 
Factor? Thanks.
Robert Kragler

-- 
Robert Kragler
Email : kragler at hs-weingarten.de
URL : http://www.hs-weingarten.de/~kragler