Catalan paths and quasi-symmetric functions

DOI10.1090/S0002-9939-02-06634-0zbMath1006.05064arXivmath/0109147MaRDI QIDQ4787490

Nantel Bergeron, Jean-Christophe Aval

Publication date: 7 January 2003

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0109147

Mathematics Subject Classification ID

Combinatorial aspects of representation theory (05E10) Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10) Valuation rings (13F30)

Related Items

Ideals and quotients of diagonally quasi-symmetric functions, Quasisymmetric harmonics of the exterior algebra, Ideals of quasi-symmetric functions and super-covariant polynomials for \(\mathcal S_n\), A note on: rectangular Schröder parking functions combinatorics, Divided symmetrization and quasisymmetric functions, Divided symmetrization and quasisymmetric functions

Cites Work

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• Symmetric functions, conjugacy classes and the flag variety
• Lattice diagram polynomials and extended Pieri rules
• Ideals of quasi-symmetric functions and super-covariant polynomials for \(\mathcal S_n\)
• Multiple left regular representations generated by alternants
• Noncommutative Pieri operators on posets
• Hecke algebras, difference operators, and quasi-symmetric functions
• Noncommutative symmetric functions
• Duality between quasi-symmetric functions and the Solomon descent algebra
• Hilbert schemes, polygraphs and the Macdonald positivity conjecture
• A graded representation model for Macdonald's polynomials.
• Differential Equations Invariant Under Finite Reflection Groups