• LiE

  • Referenced in 121 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 164 articles [sw04235]
  • calculations with generic character tables of groups of Lie type, Coxeter groups, Iwahori-Hecke algebras...
  • SCHUR

  • Referenced in 21 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...
  • SPDE

  • Referenced in 38 articles [sw16714]
  • applied to determine the symmetry group of Lie- or point-symmetries of a given system...
  • LAGUNA

  • Referenced in 14 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 10 articles [sw09257]
  • order ordinary differential equations (ODEs) using Lie group symmetry methods is presented...
  • Atlas of Lie Groups

  • Referenced in 5 articles [sw09356]
  • Atlas of Lie Groups and Representations is a project to make available information about representations ... reductive Lie groups over real and p-adic 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...
  • DIMSYM

  • Referenced in 71 articles [sw04279]
  • symmetry to be found (Lie point, Lie-Backlund or some user-provided 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...
  • YaLie

  • Referenced in 9 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...
  • DifferentialGeometry

  • Referenced in 8 articles [sw07593]
  • tensor calculus, spinor calculus, Lie algebras, Lie groups, transformation groups, jet spaces, and the variational...
  • DiffMan

  • Referenced in 8 articles [sw01598]
  • elements from differential geometry, in particular Lie groups and homogeneous spaces, coordinate free formulations...
  • SYMMGRP.MAX

  • Referenced in 68 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...
  • MuPAD-Combinat

  • Referenced in 24 articles [sw04933]
  • some support for combinatorial Lie algebras, operads, (affine) Weyl groups, crystals, Schubert polynomials, ... The development...
  • BIGLIE

  • Referenced in 4 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...
  • RCMS

  • Referenced in 5 articles [sw13147]
  • Moreover, RCMS respects evolution on a Lie group. We illustrate with application...
  • LieSymm

  • Referenced in 3 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...
  • SU3CGVCS

  • Referenced in 4 articles [sw09357]
  • extends to other compact semi-simple Lie groups. The codes are given in subroutine form...
  • jacobi2.0

  • Referenced in 4 articles [sw06052]
  • bracket, the elements of Lie groups fulfill this identity. But the manual evaluation of Jacobi...
  • symmetry

  • Referenced in 3 articles [sw14839]
  • knowledge of finite groups and compact Lie groups; algebraic groups; Derksen’s algorithm for computation...