Hall-Littlewood polynomials and fixed point enumeration

DOI10.1016/j.disc.2009.10.003zbMath1228.05294arXiv1005.2566OpenAlexW2022343652MaRDI QIDQ965968

Brendon Rhoades

Publication date: 27 April 2010

Published in: Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1005.2566

zbMATH Keywords

plethysmcontingency tableHall-Littlewood polynomialKostka-Foulkes polynomialribbon tableautransportation matrix

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Symmetric functions and generalizations (05E05) Combinatorial aspects of representation theory (05E10)

Related Items

Cyclic sieving, necklaces, and branching rules related to Thrall's problem ⋮ Orbit harmonics and cyclic sieving: a survey ⋮ Skew characters and cyclic sieving (extended abstract) ⋮ Cyclic sieving, skew Macdonald polynomials and Schur positivity ⋮ Macdonald polynomials and cyclic sieving ⋮ Cyclic sieving and orbit harmonics ⋮ Skew characters and cyclic sieving ⋮ Plethysm and a character embedding problem of Miller

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A variant of the induction theorem for Springer representations.
• Green polynomials at roots of unity and Springer modules for the symmetric groups
• A Schensted algorithm for rim hook tableaux
• Symmetric functions, conjugacy classes and the flag variety
• On certain graded \(S_ n\)-modules and the \(q\)-Kostka polynomials
• Green polynomials and Hall-Littlewood functions at roots of unity
• The cyclic sieving phenomenon
• Canonical bases and self-evacuating tableaux
• A formula of Lascoux-Leclerc-Thibon and representations of symmetric groups
• Permutations, matrices, and generalized Young tableaux
• Bimahonian distributions
• Ribbon tableaux, Hall–Littlewood functions, quantum affine algebras, and unipotent varieties
• Modular representations of symmetric groups