Higher order Macdonald operators with stability properties and their applications

DOI10.1007/S11005-006-0085-3zbMath1116.05091OpenAlexW2014438893MaRDI QIDQ883180

Takashi Yamamoto

Publication date: 31 May 2007

Published in: Letters in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11005-006-0085-3

zbMATH Keywords

Hall-Littlewood functionstransition matricesMacdonald functions

Mathematics Subject Classification ID

Combinatorial identities, bijective combinatorics (05A19) (q)-calculus and related topics (05A30) Symmetric functions and generalizations (05E05) Basic orthogonal polynomials and functions associated with root systems (Macdonald polynomials, etc.) (33D52)

Related Items (2)

Macdonald operators at infinity ⋮ Lax operator for Macdonald symmetric functions

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• \(t,q\)-Catalan numbers and the Hilbert scheme.
• A proof of the \(q,t\)-Catalan positivity conjecture
• A remarkable \(q,t\)-Catalan sequence and \(q\)-Lagrange inversion
• A graded representation model for Macdonald's polynomials.
• Breakthroughs in the theory of Macdonald polynomials

This page was built for publication: Higher order Macdonald operators with stability properties and their applications