Summary
In this paper after briefly recollecting the main properties of Hamilton’s quaternion field, the deep interrelations between the group of second-order orthogonal Cartesian tensors and the quaternionic product is emphasized. The topic discussed plays an important role in dealing with questions about the kinematics of deformable bodies when Lagrangian measures for finite deformations are assumed and Cauchy’s polar-decomposition theorem is applied.
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Spena, F.R. A note on quaternion algebra and finite rotations. Nuov Cim B 108, 689–698 (1993). https://doi.org/10.1007/BF02827002
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DOI: https://doi.org/10.1007/BF02827002