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JP Journal of Geometry and Topology

JP Journal of Geometry and Topology
Volume 21, Issue 4, Pages 327 - 364 (November 2018)
http://dx.doi.org/10.17654/GT021040327

DUAL QUATERNIONIC (n – 1)-SPACES DEFINED BY SPECIAL JORDAN ALGEBRAS OF DIMENSION 4n² – 2n

Atilla Akpinar and Fatma Ozen Erdogan

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.