Some Results On Quaternion 3-Space
Abstract
In this paper, the set J′=H(Q₄,Jγ) of 4 by 4 matrices, with
entries in a quaternion F-algebra Q, that are symmetric with respect to the
canonical involution Jγ is studied. J′
is also the special Jordan matrix algebra and some results related to points
and lines of the quaternion 3-space P(J′)
defined by the algebra are introduced. Finally, by taking dual ring Q:= Q+Qε (ε∉Q, ε²=0) instead of Q,
the obtained results are carried to a more general state.
Keywords
References
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