• ReLie

  • Referenced in 5 articles [sw14546]
  • ReLie: a reduce package for Lie group analysis of differential equations...
  • jacobi2.0

  • Referenced in 5 articles [sw06052]
  • bracket, the elements of Lie groups fulfill this identity. But the manual evaluation of Jacobi...
  • 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...
  • SU3CGVCS

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

  • Referenced in 2 articles [sw13915]
  • compute branching rules for breaking classical Lie groups to finite subgroups. Using the package DecomposeLGReps ... representations of the classical compact Lie groups to their finite subgroups. For a detailed information ... please read the publication: Breaking classical Lie groups to finite subgroups – an automated approach...
  • HighestWeights

  • Referenced in 2 articles [sw27520]
  • graded modules with a semisimple Lie group action. This package provides tools to study ... with the action of a semisimple Lie group. The methods of this package allow ... module, as representations of a semisimple Lie group by means of their weights...
  • symmetry

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

  • Referenced in 8 articles [sw21048]
  • challenge in model selection lies in the grouped collinearity structure of CMEs, which can cause...
  • STRATIFY

  • Referenced in 1 article [sw18775]
  • stratification of linear actions of compact Lie groups. The connection between these seemingly unrelated problems ... additionally, of fundamental equivariants of compact Lie groups. The principle of symmetry breaking allows ... groups and invariant rings of compact Lie groups, and for computing the intersection of graded ... approach for stratifying actions of compact Lie groups and we present algorithms for computing...
  • LieART

  • Referenced in 57 articles [sw08573]
  • algebras. It computes root systems of Lie algebras, weight systems and several other properties ... output. LieART exploits the Weyl reflection group for most of the calculations, resulting in fast...
  • Lie analysis

  • Referenced in 1 article [sw39046]
  • package Image Processing via Scores on Lie Groups. We transform each image into a higher ... single entity in a larger Lie group theoretical framework, e.g. when dealing with multi-scale...
  • LieTypes

  • Referenced in 1 article [sw27095]
  • Macaulay2 package LieTypes -- Common types for Lie groups and Lie algebras. This package defines types...
  • CKForms

  • Referenced in 1 article [sw32320]
  • where G is a simple linear Lie group and H is a non-compact reductive...
  • VectorFields

  • Referenced in 1 article [sw36742]
  • interest to those studying representations of Lie groups, foliations, or logarithmic vector fields...
  • Manifolds.jl

  • Referenced in 1 article [sw39726]
  • library of Riemannian manifolds and Lie groups. We introduce a common interface, available in ManifoldsBase.jl...
  • coxeter

  • Referenced in 22 articles [sw07772]
  • representations and irreducible characters of finite Coxeter groups, and for retrieving information such ... characters of irreducible representations of semisimple Lie algebras, including functions for computing weight multiplicities, tensor...
  • Guarana

  • Referenced in 4 articles [sw08648]
  • Guarana: Applications of Lie methods for computations with infinite polycyclic groups. The Guarana package provides...
  • xTensor

  • Referenced in 32 articles [sw04984]
  • products of them. It computes covariant derivatives, Lie derivatives and parametric derivatives. It allows ... list of indices under permutation symmetry groups...