skip to main content

Mathematics (thesaurus)

Lengua del contenido

Inicio / Explorar / Navegar / Vocabularios / 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

Término preferido

Jucys-Murphy element

Definición

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)

Concepto genérico

En otras lenguas

élément de Jucys-Murphy

francés

URI

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

Descargue este concepto:

RDF/XML TURTLE JSON-LD Creado 18/8/23, última modificación 24/8/23