skip to main content

Mathematics (thesaurus)

Langue des données

Accueil / Explorer / Naviguer / Vocabulaires / Mathematics (thesaurus)

mathematical analysis > function > symmetric function > Jucys-Murphy element

algebra > representation theory > group representation > Jucys-Murphy element

... > combinatorics > permutation > symmetric group > permutation group > Jucys-Murphy element

... > combinatorics > permutation > symmetric group > permutation group > Jucys-Murphy element

algebra > group theory > finite group > permutation group > Jucys-Murphy element

Terme préférentiel

Jucys-Murphy element

Définition(s)

In mathematics, the Jucys–Murphy elements in the group algebra ${\\displaystyle \\mathbb {C} [S_{n}]}$ of the symmetric group, named after Algimantas Adolfas Jucys and G. E. Murphy, are defined as a sum of transpositions by the formula:

${\\displaystyle X_{1}=0,~~~X_{k}=(1\\;k)+(2\\;k)+\\cdots +(k-1\\;k),~~~k=2,\\dots ,n.}$

They play an important role in the representation theory of the symmetric group.
(Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Jucys%E2%80%93Murphy_element)

Concept(s) générique(s)

Traductions

élément de Jucys-Murphy

français

URI

http://data.loterre.fr/ark:/67375/PSR-M9WLXDDG-X

Télécharger ce concept:

RDF/XML TURTLE JSON-LD Date de création 18/08/2023, dernière modif. 24/08/2023