Minor summation formula of pfaffians and Schur function identities

DOI10.3792/pjaa.71.54zbMath0840.05099OpenAlexW1991207216MaRDI QIDQ1898260

Masato Wakayama, Masao Ishikawa

Publication date: 30 June 1996

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.71.54

zbMATH Keywords

Schur functionsidentitiesChebyshev polynomialsdeterminantspfaffians

Mathematics Subject Classification ID

Symmetric functions and generalizations (05E05) Combinatorial aspects of representation theory (05E10) Determinants, permanents, traces, other special matrix functions (15A15) Appell, Horn and Lauricella functions (33C65)

Related Items

Minor summation formula of pfaffians, Branching rules of Dolbeault cohomology groups over indefinite Grassmannian manifolds, Applications of minor-summation formula. II: Pfaffians and Schur polynomials, Enumeration of lozenge tilings of punctured hexagons, Applications of minor summation formulas to rectangular-shaped representations of classical groups, The number of rhombus tilings of a ``punctured hexagon and the minor summation formula, New Schur function series, Pfaffian and Hafnian identities in shuffle algebras, Applications of minor summation formula. III: Plücker relations, lattice paths and Pfaffian identities

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the generating functions for certain classes of plane partitions
• Young tableaux, Gelfand patterns, and branching rules for classical groups
• Nonintersecting paths, pfaffians, and plane partitions
• On bideterminantal formulas for characters of classical groups
• Applications of minor-summation formula. I: Littlewood's formulas
• Minor summation formula of pfaffians
• Theory and Application of Plane Partitions. Part 2