8 research outputs found
Geometry of Cyclic and Anticylic Algebras
summary:The article deals with spaces the geometry of which is defined by cyclic and anticyclic algebras. Arbitrary multiplicative function is taken as a fundamental form. Motions are given as linear transformation preserving given multiplicative function
Hypercomplex Algebras and Geometry of Spaces with Fundamental Formof an Arbitrary Order
summary:The article is devoted to a generalization of Clifford and Grassmann algebras for the case of vector spaces over the field of complex numbers. The geometric interpretation of such generalizations are presented. Multieuclidean geometry is considered as well as the importance of it in physics
Geometry of Cyclic and Anticylic Algebras
summary:The article deals with spaces the geometry of which is defined by cyclic and anticyclic algebras. Arbitrary multiplicative function is taken as a fundamental form. Motions are given as linear transformation preserving given multiplicative function