Applications of minor-summation formula. II: Pfaffians and Schur polynomials

DOI10.1006/jcta.1999.2988zbMath0947.15008OpenAlexW2069583649MaRDI QIDQ1806218

Masao Ishikawa, Masato Wakayama

Publication date: 20 December 1999

Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/f0dcda02128cb05a78b85f03dea16d6c6432d4e6

zbMATH Keywords

symmetric functionsPfaffiansSchur polynomialsLittlewood formulaminor-summation formula

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Symmetric functions and generalizations (05E05) Pfaffian systems (58A17) Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Algebraic systems of matrices (15A30)

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Cites Work

• Unnamed Item
• New Schur function series
• Nonintersecting paths, pfaffians, and plane partitions
• Minor summation formula of pfaffians and Schur function identities
• Two variable Pfaffian identities and symmetric functions
• Applications of minor-summation formula. I: Littlewood's formulas
• S-function series
• New S function series and non-compact Lie groups
• Minor summation formula of pfaffians