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Quaternions and Rotations
by
Domingo Ruiz
Universite de Paris Sud / University of Maryland
Quaternions are mainly known as Hamilton's extension of complex numbers to a four-fold real division algebra. The average student of mathematics has little or almost not any familiarity with this number field, even though many of their properties are very accessible. We attempt to display some of these to reveal how quaternions clarify some links between geometry and algebra.
Date received: November 10, 2006
Copyright © 2006 by the author(s). The author(s) of this work and the organizers of the conference have granted their consent to include this abstract in Topology Atlas. Document # catp-09.