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Hamilton’s theory of turns revisited
Authors:N Mukunda  S Chaturvedi and R Simon
Institution:(1) Biologie I, Universität Regensburg, 93040 Regensburg, Germany
Abstract:We present a new approach to Hamilton’s theory of turns for the groups SO(3) and SU(2) which renders their properties, in particular their composition law, nearly trivial and immediately evident upon inspection. We show that the entire construction can be based on binary rotations rather than mirror reflections.
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