4 papers
On the development of differential geometry in Estonia
V. Abramov
We give a brief review of a research made in the field of differential geometry in Estonia in the period from the beginning of the 19th century to the present time. The biographic…
Algebra of differential forms with exterior differential in dimension one
V. Abramov, N. Bazunova
In this work, we construct the algebra of differential forms with the cube of exterior differential equal to zero on one-dimensional space. We prove that this algebra is a graded q…
-graded analogues of Clifford algebras and generalization of supersymmetry
V. Abramov
We define and study the ternary analogues of Clifford algebras. It is proved that the ternary Clifford algebra with generators is isomorphic to the subalgebra of the elements o…
Ternary generalizations of Grassmann algebra
Viktor Abramov
We propose the ternary generalization of the classical anti-commutativity and study the algebras whose generators are ternary anti-commutative. The integral over an algebra with an…