A system of elements of the free Lie superalgebra is primitive if it is a part of some free generating set of this superalgebra. A series of problems of contemporary physics is reduced to the investigation of properties of free Lie algebras and Lie superalgebras. In the study of these objects an important role play primitive systems of elements. We presentâ€¦ (More)

In the study of simple Lie algebras, both in the theory and in applications, the representation theory takes one of the central places. In this connection numerical computational problems arise which pose significant difficulties for Lle algebras of large rank. The aim of this paper is to present the package of programs which was worked out by the author atâ€¦ (More)

In the theory of simple L~e algebras the representation theory plays a fundamental role. Irreducible representation manipulations are used in different branches of physics, such as high energy particle physics and supergravity theory. There are many algorithms which allow us to calculate the dimension and the weight multiplicities for irreducibleâ€¦ (More)