• LiE

  • Referenced in 155 articles [sw01075]
  • representation theory of complex semisimple (reductive) Lie groups and algebras, and on the structure...
  • coxeter

  • Referenced in 22 articles [sw07772]
  • characters of irreducible representations of semisimple Lie algebras, including functions for computing weight multiplicities, tensor...
  • wedderga

  • Referenced in 13 articles [sw01019]
  • package Wedderga: Wedderburn Decomposition of Group Algebras. Wedderga is the package to compute the simple ... components of the Wedderburn decomposition of semisimple group algebras of finite groups over finite fields ... produce the primitive central idempotents of semisimple group algebras and functions for computing Schur indices...
  • CoReLG

  • Referenced in 11 articles [sw08646]
  • isomorphism. Second, we consider a real semisimple Lie algebra 𝔤. We provide an algorithm...
  • QuaGroup

  • Referenced in 6 articles [sw08644]
  • quantized enveloping algebras of finite-dimensional semisimple Lie algebras...
  • WeylModules

  • Referenced in 4 articles [sw31472]
  • modules for a given simply-connected, semisimple, algebraic group in positive characteristic. The package computes...
  • CANONIK

  • Referenced in 24 articles [sw12229]
  • PASCAL for the identification of a Lie algebra L (given by its structure constants ... lines) calculates by a recursive algorithm the semisimple part S(L), of L, together with ... LEVI to present a given Lie algebra with a standardized basis and gives possibilities...
  • KILLING

  • Referenced in 2 articles [sw00487]
  • theory for classical, exceptional and deformed Lie algebras. It is divided in two major parts ... Roots & Weights formalism to classify all semisimple Lie algebras and their irreducible representations...
  • LEVI

  • Referenced in 1 article [sw10298]
  • PASCAL for the identification of a Lie algebra L (given by its structure constants ... lines) calculates by a recursive algorithm the semisimple part S(L), of L, together with ... LEVI to present a given Lie algebra with a standardized basis and gives possibilities...
  • BIGEBRA

  • Referenced in 19 articles [sw00078]
  • Clifford and Graßmann Hopf algebras via the BIGEBRA...
  • CLIFFORD

  • Referenced in 80 articles [sw00131]
  • CLIFFORD performs various computations in Grass mann and...
  • FLINT

  • Referenced in 55 articles [sw00297]
  • Fast library for number theory: an introduction. We...
  • GAP

  • Referenced in 2957 articles [sw00320]
  • GAP is a system for computational discrete algebra...
  • gmp

  • Referenced in 274 articles [sw00363]
  • GMP is a free library for arbitrary precision...
  • Macaulay2

  • Referenced in 1734 articles [sw00537]
  • Macaulay2 is a software system devoted to supporting...
  • Magma

  • Referenced in 2998 articles [sw00540]
  • Computer algebra system (CAS). Magma is a large...
  • Maple

  • Referenced in 5177 articles [sw00545]
  • The result of over 30 years of cutting...
  • Matlab

  • Referenced in 12557 articles [sw00558]
  • MATLAB® is a high-level language and interactive...
  • SageMath

  • Referenced in 1741 articles [sw00825]
  • Sage (SageMath) is free, open-source math software...
  • SINGULAR

  • Referenced in 1424 articles [sw00866]
  • SINGULAR is a Computer Algebra system (CAS) for...