The symmetric functions catalog

2022-06-07

Hivert polynomials

Hivert polynomials were introduced by F. Hivert in [Hiv00], as a quasisymmetric analog of the Hall–Littlewood polynomials. These interpolate between the Gessel quasisymmetric functions and the monomial quasisymmetric functions.

Transition matrices involving Hivert polynomials are studied in [LSW13].

References

• [Hiv00] Florent Hivert. Hecke algebras, difference operators, and quasi-symmetric functions. Advances in Mathematics, 155(2):181–238, November 2000.
• [LSW13] Nicholas A. Loehr, Luis G. Serrano and Gregory S. Warrington. Transition matrices for symmetric and quasisymmetric Hall–Littlewood polynomials. Journal of Combinatorial Theory, Series A, 120(8):1996–2019, November 2013.