Minor summation formula of pfaffians and Schur function identities
type: Item
instance of: scholarly article
title: Minor summation formula of pfaffians and Schur function identities
zbMATH Open document ID: 0840.05099
author: Masao Ishikawa
author: Masato Wakayama
published in: Proceedings of the Japan Academy. Series A
publication date: 1996-06-30T00:00:00Z
review text: An identity relating pfaffians and determinants, taken from another paper of the authors [Linear Multilinear Algebra 39, No. 3, 285-305 (1995; Zbl 0830.15011)], is used to derive a number of strange identities featuring Schur functions and Chebyshev polynomials.
Mathematics Subject Classification ID: 05E05
Mathematics Subject Classification ID: 05E10
Mathematics Subject Classification ID: 15A15
Mathematics Subject Classification ID: 33C65
zbMATH DE Number: 799719
zbMATH Keywords: pfaffians
zbMATH Keywords: determinants
zbMATH Keywords: identities
zbMATH Keywords: Schur functions
zbMATH Keywords: Chebyshev polynomials
reviewed by: C. Krattenthaler
MaRDI profile type: Publication
full work available at URL: pjaa.71.54
OpenAlex ID: W1991207216
cites work: Minor summation formula of pfaffians
cites work: Applications of minor-summation formula. I: Littlewood's formulas
cites work: On bideterminantal formulas for characters of classical groups
cites work: Q3797376
cites work: Q4399987
cites work: On the generating functions for certain classes of plane partitions
cites work: Young tableaux, Gelfand patterns, and branching rules for classical groups
cites work: Theory and Application of Plane Partitions. Part 2
cites work: Q3748279
cites work: Nonintersecting paths, pfaffians, and plane partitions
DOI: 10.3792/PJAA.71.54
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description: scientific article; zbMATH DE number 799719