The Hecke algebra and structure constants of the ring of symmetric polynomials

Alain Lascoux (1)

1 LIGM - Laboratoire d'Informatique Gaspard-Monge

We give half a dozen bases of the Hecke algebra of the symmetric group, and relate them to the basis of Geck-Rouquier, and to the basis of Jones, using matrices of change of bases of the ring of symmetric polynomials.

Mots clés: Hecke algebra; Center; Symmetric functions

Domaines: Combinatoire [math.CO]

Alain Lascoux. The Hecke algebra and structure constants of the ring of symmetric polynomials. 2006. ⟨hal-00019225⟩