JP Journal of Geometry and Topology
Volume 21, Issue 4, Pages 327 - 364
(November 2018)
http://dx.doi.org/10.17654/GT021040327 |
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DUAL QUATERNIONIC (n – 1)-SPACES DEFINED BY SPECIAL JORDAN ALGEBRAS OF DIMENSION 4n2 – 2n
Atilla Akpinar and Fatma Ozen Erdogan
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Abstract:
We treat a special subset of symmetric elements, denoted by  of the n by n matrices with entries in a local ring  (a quaternion division algebra  and  The subset defines a special Jordan algebra of dimension  So, we obtain a new class of dual quaternionic  -spaces by means of this algebra. |
| Keywords and phrases: special Jordan algebra, dual quaternionic space.
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