Lagrange inversion and Schur functions

DOI10.1023/A:1008743720120zbMath0944.05096MaRDI QIDQ1975184

Cristian Lenart

Publication date: 15 September 2000

Published in: Journal of Algebraic Combinatorics (Search for Journal in Brave)

zbMATH Keywords

symmetric functionMacdonald polynomialsSchur functionLagrange inversionconjecture of Bergeronconjecture of GarsiaMacdonald involution

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Symmetric functions and generalizations (05E05)

Related Items (7)

A proof of the \(q,t\)-square conjecture ⋮ Combinatorial properties of the noncommutative Faà di Bruno algebra. ⋮ Combinatorics of Poincaré’s and Schröder’s equations ⋮ New invariants for permutations, orders and graphs ⋮ Noncommutative symmetric functions and Lagrange inversion ⋮ A filtration of \((q,t)\)-Catalan numbers ⋮ A ONE-PARAMETER DEFORMATION OF THE NONCOMMUTATIVE LAGRANGE INVERSION FORMULA

Cites Work

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• A remarkable \(q,t\)-Catalan sequence and \(q\)-Lagrange inversion
• A problem of arrangements
• The centres of symmetric group rings
• A Noncommutative Generalization and q-Analog of the Lagrange Inversion Formula
• Identities in Combinatorics. II: A q-Analog of the Lagrange Inversion Theorem
• Functional Composition Patterns and Power Series Reversion

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