• LieART

  • Referenced in 44 articles [sw08573]
  • product decomposition and subalgebra branching of irreducible representations. LieART can handle all classical and exceptional ... systems and several other properties of irreducible representations. LieART’s user interface has been created ... thus allows the input of irreducible representations via their dimensional name, while the output ... publications. The unique Dynkin labels of irreducible representations are used internally and can also...
  • coxeter

  • Referenced in 22 articles [sw07772]
  • reflections, reduced expressions, for generating permutation representations and irreducible characters of finite Coxeter groups ... manipulating weights and characters of irreducible representations of semisimple Lie algebras, including functions for computing...
  • Atlas of Lie Groups

  • Referenced in 12 articles [sw09356]
  • project to make available information about representations of reductive Lie groups over real ... unitary dual: classifying all of the irreducible unitary representations of a given Lie group...
  • liealgebra

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

  • Referenced in 3 articles [sw36355]
  • SpaceGroupIrep: A package for irreducible representations of space group. We have developed a Mathematica program ... database and tool set for irreducible representations (IRs) of space group in BC convention...
  • REPSN

  • Referenced in 21 articles [sw00800]
  • matrix representations. Let G be a finite group and χ a faithful irreducible character ... author describe techniques for computing a matrix representation for G which affords χ whenever...
  • FOXBOX

  • Referenced in 16 articles [sw00307]
  • computed for an irreducible factor. We establish that the black box representation of objects...
  • KILLING

  • Referenced in 2 articles [sw00487]
  • algebraic computational procedures to manipulate elements of representation theory for classical, exceptional and deformed ... semisimple Lie algebras and their irreducible representations, and (2) The Gelfand-Tsetlin method to construct ... explicitly the irreducible representations of classical Lie algebras, including the deformed unitary Lie algebras...
  • CleGo

  • Referenced in 3 articles [sw06831]
  • Clebsch-Gordan coefficients in tensor product representations for Lie algebras A-G. We present ... computation of tensor products of irreducible representations of Lie algebras A-G based...
  • LIE_S1

  • Referenced in 1 article [sw11835]
  • semisimple symmetry chains: The completely symmetric representations. Solution method: Starting from the state vector corresponding ... highest weight of an irreducible representation of SU(l+1), repeated application of shift operators ... generates all states within this irreducible representation. The initial states of all other irreducible representations...
  • lie_algebras

  • Referenced in 2 articles [sw34846]
  • weight (mu ) in an irreducible representation of a simple Lie algebra (mathfrak {g}) with highest...
  • UNTOU3

  • Referenced in 2 articles [sw11853]
  • Representations of U(3) in U(N). Nature of problem: U(N) -> U(3) plethysm ... finding the complete set of irreducible representations (irreps) of U(3) in specific irreps...
  • AREP

  • Referenced in 9 articles [sw13167]
  • decomposes a monomial representation of a solvable group G into its irreducible components. In contradistinction ... special case of a regular representation, we hence obtain a fast Fourier transform...
  • WBase

  • Referenced in 1 article [sw01013]
  • reduce tensor products of Lie algebra representations. It is nearly twenty years that there exist ... reduce products of Lie algebra irreducible representations. This is a contribution in the field that...
  • BETHE

  • Referenced in 1 article [sw10454]
  • symmetry operators, characters, or irreducible representations...
  • POLRANGE

  • Referenced in 1 article [sw10305]
  • operators upon highest weight states of irreducible representations...
  • ORDINVAR

  • Referenced in 1 article [sw11847]
  • operators upon highest weight states of irreducible representations...
  • PHONON

  • Referenced in 1 article [sw31965]
  • finds the polarization vectors, and the irreducible representations (Gamma point) of phonon modes, and calculates...
  • SnFFT

  • Referenced in 2 articles [sw14298]
  • algorithms. Our implementation internally creates the irreducible matrix representations of 𝕊 n , and efficiently computes...