An (inverse) Pieri formula for Macdonald polynomials of type C

Michel Lassalle (1)

1 LIGM - Laboratoire d'Informatique Gaspard-Monge

We give an explicit Pieri formula for Macdonald polynomials attached to the root system C(n) (with equal multiplicities). By inversion we obtain an explicit expansion for two-row Macdonald polynomials of type C.

Domaines: Physique mathématique [math-ph]

Michel Lassalle. An (inverse) Pieri formula for Macdonald polynomials of type C. Transformation Groups, 2010, 15 (1), pp.154-183. ⟨10.1007/s00031-010-9080-y⟩. ⟨hal-00693550⟩