Representations of the symmetric group and its Hecke algebra

Nicolas Jacon (1)

1 LMB - Laboratoire de Mathématiques de Besançon (UMR 6623)

This paper is an expository paper on the representation theory of the symmetric group and its Hecke algebra in arbitrary characteristic. We study both the semisimple and the non semisimple case and give an introduction to some recent results on this theory.

Mots clés: Hecke algebra; representation; symmetric group.; symmetric group

Domaines: Théorie des représentations [math.RT]; Anneaux et algèbres [math.RA]; Combinatoire [math.CO]

Nicolas Jacon. Representations of the symmetric group and its Hecke algebra. 2012. ⟨hal-00731102v2⟩