Polynomial representations of the Hecke algebra of the symmetric group

Alain Lascoux (1)

1 LIGM - Laboratoire d'Informatique Gaspard-Monge

We give a polynomial basis of each irreducible representation of the Hecke algebra, as well as an adjoint basis. Decompositions in these bases are obtained by mere specializations.

Mots clés: Young bases; representations; Hecke algebra; symmetric group

Domaines: Combinatoire [math.CO]

Alain Lascoux. Polynomial representations of the Hecke algebra of the symmetric group. International Journal of Algebra and Computation, 2013, 23 (4), pp.803-818. ⟨10.1142/S0218196713400109⟩. ⟨hal-00826630⟩