GEOMETRIC STRUCTURES OVER HYPERCOMPLEX ALGEBRAS

In this paper, we consider various algebras of hypercomplex numbers and geometric structures over them and discuss certain applications of these structures in theoretical physics. Keywords and phrases: hypercomplex number, quaternion, fundamental form. AMS Subject Classification: 11E88, 51M99
CONTENTS Introduction 1. Hypercomplex Numbers of Arbitrary Orders 2. Algebras of the First and Second Rank 3. Geometry of Polycyclic Spaces References UDC 514.76 Introduction Algebras of hypercomplex numbers is [...]