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

Masao Ishikawa, Masato Wakayama

Research output: Contribution to journalArticlepeer-review

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
DOIs
Publication statusPublished - Oct 1999

All Science Journal Classification (ASJC) codes

  • Theoretical Computer Science
  • Discrete Mathematics and Combinatorics
  • Computational Theory and Mathematics

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