Symmetric functions, codes of partitions and the KP hierarchy

DOI10.1007/s10801-009-0211-2zbMath1225.05238arXiv0902.4441OpenAlexW2090056566MaRDI QIDQ610450

S. R. Carrell, Ian P. Goulden

Publication date: 8 December 2010

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

Full work available at URL: https://arxiv.org/abs/0902.4441

zbMATH Keywords

Schur functionsPlücker relationssymmetric functionsKP hierarchycombinatorial bijectionpartition code

Mathematics Subject Classification ID

Symmetric functions and generalizations (05E05)

Related Items (6)

Contents of partitions and the combinatorics of permutation factorizations in genus $0$ ⋮ CODES AND SHIFTED CODES ⋮ Bernstein operators and super-Schur functions: combinatorial aspects ⋮ A comment on the combinatorics of the vertex operator \(\Gamma_{(t|X)}\) ⋮ CODES AND SHIFTED CODES OF PARTITIONS ⋮ Simple recurrence formulas to count maps on orientable surfaces

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• Toda equations for Hurwitz numbers
• The Toda equations and the Gromov-Witten theory of the Riemann sphere
• An algebro-geometric proof of Witten’s conjecture
• Symmetric functions and the KP and BKP hierarchies
• Littlewood-Richardson without algorithmically defined bijections

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