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