An analytical method to calculate invariants is developed, based on the theory of complete systems of simultaneous linear first order partial differential equations. The ...

The aim of this paper is to present a symbolic calculation approach for the basic facts for the Lie a-graded (super) algebra of derivations of the Grassmann algebra of ...

We use an argument of Romans showing that every Virasoro construction leads to realizations of W3, to construct W3 realizations on arbitrary affine Lie algebras. Solutions ...

We present a computer program to generate and solve the defining equations for grading preserving contractions of Lie algebras of any type, and their representations. The ...

A new realization of F4 in terms of SO (3) tensor operators (boson realization) is given. For the first time the internal representation (or bosons) does not correspond to ...

Lie group techniques provide a method to obtain solutions of partial differential equations and systems. Yet another Lie package, YaLie.m, is a Mathematica package that ...

In this article, we propose two MathematicaTM packages for doing calculations in the domain of classical simple Lie algebras.The main goal of the first package, ...

In this paper we present Affine.m—a program for computations in representation theory of finitedimensional and affine Lie algebras and describe implemented algorithms. The ...

Abstract Let g=vect(M) be the Lie (super)algebra of vector fields on any connected (super)manifold M; let ldquo-rdquo be the change of parity functor, C i and H i the space ...

We describe applications of a MATHEMATICA-based package for the study of Lie algebras and their cohomology such as (1) the possibility to write Supergravity Equations for any ...