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 the notebook and the packages we define basic operations for Lie algebras of matrices, and calculate the Killing forms of the following Lie algebras: the general linear ...

The purpose of this program is to derive the determining equations for Lie-point symmetries. The determining equations are derived in a form simplified as far as possible. ...

The purpose of this program is to derive the determining equations for Lie-Baecklund symmetries. The determining equations are derived in a form simplified as far as ...

We present the Mathematica application ‘‘LieART’’ (Lie Algebras and Representation Theory) for computations frequently encountered in Lie algebras and representation ...

This package supports computation in a graded free Lie algebra. It generates a basis of the space of all products (up to a given maximum degree) as well as all commutators. A ...

Numerical procedures for obtaining the root systems of both classical and exceptional Lie algebras are slow and tedious when done by hand. This is a contribution in the field ...

We show how the features of Mathematica can be used in the classification of the filiform Lie algebras. We reduce the parameters which define a family of filiform Lie ...

We give the classification of the graded algebras for a class of nilpoint Lie algebra which extends the graded filiform Lie algebras Vergne's classification [3]. That general ...

The author presents the method of first integrals with the application to MathLie.