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Date: 2008-10-08 12:02:19 Mathematics Ring theory Category theory Homotopy theory Noncommutative geometry Quantum gravity Quaternion Clifford algebra Groupoid Abstract algebra Algebra Algebraic structures		Add to Reading List Source URL: www.cs.ox.ac.uk Download Document from Source Website File Size: 409,92 KB Share Document on Facebook

	QUATERNION ALGEBRAS KEITH CONRAD 1. Introduction A complex number is a sum a+bi with a, b ∈ R and i2 = −1. Addition and multiplication are given by the rules DocID: 1v0QV - View Document
	Ray Tracing Quaternion Julia Sets on the GPU∗ Keenan Crane University of Illinois at Urbana-Champaign November 7, 2005 Figure 1: Quaternion Julia sets ray traced in less than a second on a pair of GeForce 7800 GTX gra DocID: 1uUd8 - View Document
	GENERALIZED QUATERNIONS KEITH CONRAD 1. introduction The quaternion group Q8 is one of the two non-abelian groups of size 8 (up to isomorphism). The other one, D4 , can be constructed as a semi-direct product: D4 ∼ DocID: 1uRcx - View Document
	Submitted exclusively to the London Mathematical Society doi:On the quaternion `-isogeny path problem David Kohel, Kristin Lauter, Christophe Petit, Jean-Pierre Tignol Abstract DocID: 1uidS - View Document