Decomposable compositions, symmetric quasisymmetric functions and equality of ribbon Schur functions

DOI10.1016/j.aim.2005.05.014zbMath1092.05071arXivmath/0405434OpenAlexW2068910125MaRDI QIDQ2496717

Hugh Thomas, Stephanie Van Willigenburg, Billera, Louis J.

Publication date: 20 July 2006

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

Full work available at URL: https://arxiv.org/abs/math/0405434

zbMATH Keywords

partitionscompositionsribbon Schur functionLittlewood--Richardson coefficients

Mathematics Subject Classification ID

Combinatorial identities, bijective combinatorics (05A19) Combinatorial aspects of partitions of integers (05A17) Symmetric functions and generalizations (05E05) Combinatorial aspects of representation theory (05E10)

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Uses Software

• GAP

Cites Work

• Counting permutations with given cycle structure and descent set
• Skew Young diagram method in spectral decomposition of integrable lattice models
• Chain decomposition and the flag \(f\)-vector.
• Noncommutative symmetric functions
• Ribbon Schur functions
• Equality of Schur and skew Schur functions
• Noncommutative enumeration in graded posets
• Interaction of combinatorics and representation theory
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