
LiE
 Referenced in 152 articles
[sw01075]
 physicists to perform computations of a Lie group theoretic nature. It focuses on the representation ... theory of complex semisimple (reductive) Lie groups and algebras, and on the structure of their ... compute directly with elements of the Lie groups and algebras themselves; it rather computes with ... which give background information about Lie group theoretical concepts and about currently valid definitions...

CHEVIE
 Referenced in 226 articles
[sw04235]
 calculations with generic character tables of groups of Lie type, Coxeter groups, IwahoriHecke algebras...

SCHUR
 Referenced in 24 articles
[sw02899]
 program for interactively calculating properties of Lie groups and symmetric functions. Schur has been designed ... knowledge relating to some aspect of Lie groups or symmetric functions...

DifferentialGeometry
 Referenced in 26 articles
[sw07593]
 tensor calculus, spinor calculus, Lie algebras, Lie groups, transformation groups, jet spaces, and the variational...

SPDE
 Referenced in 39 articles
[sw16714]
 applied to determine the symmetry group of Lie or pointsymmetries of a given system...

Atlas of Lie Groups
 Referenced in 12 articles
[sw09356]
 Atlas of Lie Groups and Representations is a project to make available information about representations ... reductive Lie groups over real and padic fields. Of particular importance is the problem ... irreducible unitary representations of a given Lie group. The Atlas consists in part ... also planning to make information about Lie groups and representation theory, in particular unitary representations...

LAGUNA
 Referenced in 20 articles
[sw08650]
 package LAGUNA: Lie AlGebras and UNits of group Algebras. The LAGUNA package replaces ... group and for investigation of Lie algebra associated with group algebras and other associative algebras...

ODEtools
 Referenced in 11 articles
[sw09257]
 order ordinary differential equations (ODEs) using Lie group symmetry methods is presented...

YaLie
 Referenced in 10 articles
[sw15000]
 mathematica package for Lie symmetries. Lie group techniques provide a method to obtain solutions ... partial differential equations and systems. Yet another Lie package, YaLie.m, is a Mathematica package that...

DiffMan
 Referenced in 10 articles
[sw01598]
 elements from differential geometry, in particular Lie groups and homogeneous spaces, coordinate free formulations...

DIMSYM
 Referenced in 73 articles
[sw04279]
 symmetry to be found (Lie point, LieBacklund or some userprovided ansatz). Dimsym then ... Dimsym gives the generators of the symmetry group (which may of course be infinite dimensional ... program allows the user to compute Lie brackets, vector derivatives...

SYMMGRP.MAX
 Referenced in 71 articles
[sw10756]
 computer calculation of Lie point symmetries of large systems of differential equations. Solution method ... construction of the symmetry groups of differential equations is based on an adaptation...

BIGLIE
 Referenced in 5 articles
[sw09207]
 program LIE that finds the Lie group, or rather the Lie algebra, of differential equations ... have seen the books ”Applications of Lie Groups to Differential Equations” by P. J. Olver ... article ”Symmetries of Differential Equations: from Sophus Lie to Computer Algebra” by F. Schwarz, SIAM...

MuPADCombinat
 Referenced in 25 articles
[sw04933]
 some support for combinatorial Lie algebras, operads, (affine) Weyl groups, crystals, Schubert polynomials, ... The development...

LieSymm
 Referenced in 4 articles
[sw12188]
 applied to perform a full Lie group analysis of basic models of nonlinear fiber optics ... published computer algebra implementations of the Lie group method are discussed...

liealgebra
 Referenced in 6 articles
[sw28494]
 Weight diagrams for Lie group representations: A computer implementation of Freudenthal’s algorithm in ALGOL ... weights for irreducible representations of simple Lie algebras are described. Reasonable computing times are found...

FormTracer
 Referenced in 6 articles
[sw28328]
 arbitrary number of simple compact Lie groups. While keeping the usability of the Mathematica interface...

RCMS
 Referenced in 6 articles
[sw13147]
 Moreover, RCMS respects evolution on a Lie group. We illustrate with application...

Sophus
 Referenced in 10 articles
[sw27981]
 GAP4 package to compute with nilpotent Lie algebras over finite prime fields. In particular ... central extensions and the automorphism group of such Lie algebras.Sophusalso enables its user to test...