Applications of Minor-Summation Formula II. Pfaffians and Schur Polynomials

Masao Ishikawa, Masato Wakayama

Research output: Contribution to journalArticle

13 Citations (Scopus)

Abstract

The purpose of this paper is, to establish, by extensive use of the minor summation formula of pfaffians exploited in (Ishikawa, Okada, and Wakayama, J. Algebra 183, 193-216) certain new generating functions involving Schur polynomials which have a product representation. This generating function gives an extension of the Littlewood formula. During the course of the proof we develop some techniques for computing sub-Pfaffians of a given skew-symmetric matrix. After the proof we present an open problem which generalizes our formula.

Original languageEnglish
Pages (from-to)136-157
Number of pages22
JournalJournal of Combinatorial Theory - Series A
Volume88
Issue number1
Publication statusPublished - Oct 1999
Externally publishedYes

Fingerprint

Schur Polynomials
Pfaffian
Summation Formula
Generating Function
Minor
Polynomials
Skew symmetric matrix
Algebra
Open Problems
Generalise
Computing

Keywords

  • Character
  • Generating function
  • Partition
  • Pfaffian
  • Schur polynomial

ASJC Scopus subject areas

  • Discrete Mathematics and Combinatorics
  • Theoretical Computer Science

Cite this

Applications of Minor-Summation Formula II. Pfaffians and Schur Polynomials. / Ishikawa, Masao; Wakayama, Masato.

In: Journal of Combinatorial Theory - Series A, Vol. 88, No. 1, 10.1999, p. 136-157.

Research output: Contribution to journalArticle

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