\(q\) and \(q, t\)-analogs of non-commutative symmetric functions

DOI10.1016/j.disc.2004.08.044zbMath1070.05080arXivmath/0106255OpenAlexW1965909478MaRDI QIDQ2566277

Nantel Bergeron, Michael Zabrocki

Publication date: 22 September 2005

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

Full work available at URL: https://arxiv.org/abs/math/0106255

zbMATH Keywords

MacdonaldHall-Littlewood

Mathematics Subject Classification ID

Symmetric functions and generalizations (05E05)

Related Items (9)

Noncommutative symmetric functions with matrix parameters ⋮ Transition matrices for symmetric and quasisymmetric Hall-Littlewood polynomials ⋮ 0-Hecke algebra actions on coinvariants and flags ⋮ Combinatorial Hopf algebras, noncommutative Hall-Littlewood functions, and permutation tableaux ⋮ Compact formulas for Macdonald polynomials and quasisymmetric Macdonald polynomials ⋮ Compact formulas for Macdonald polynomials and quasisymmetric Macdonald polynomials ⋮ ON SOME NONCOMMUTATIVE SYMMETRIC FUNCTIONS ANALOGOUS TO HALL–LITTLEWOOD AND MACDONALD POLYNOMIALS ⋮ A non-commutative generalization of \(k\)-Schur functions ⋮ 0-Hecke algebra action on the Stanley-Reisner ring of the Boolean algebra

Uses Software

• NCSF

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Conjectures on the quotient ring by diagonal invariants
• Identities and positivity conjectures for some remarkable operators in the theory of symmetric functions
• Hecke algebras, difference operators, and quasi-symmetric functions
• Noncommutative symmetric functions
• A proof of the \(q,t\)-Catalan positivity conjecture
• \(q\)-analogs of symmetric function operators
• Duality between quasi-symmetric functions and the Solomon descent algebra
• Ribbon operators and Hall-Littlewood symmetric functions

This page was built for publication: \(q\) and \(q, t\)-analogs of non-commutative symmetric functions