Open Access
VOL. 28 | 2000 Minor Summation Formulas of Pfaffians, Survey and A New Identity
Masao Ishikawa, Masato Wakayama

Editor(s) Kazuhiko Koike, Masaki Kashiwara, Soichi Okada, Itaru Terada, Hiro-Fumi Yamada

Adv. Stud. Pure Math., 2000: 133-142 (2000) DOI: 10.2969/aspm/02810133

Abstract

In this paper we treat the minor summation formulas of pfaffians presented in [IW1] and derive several basic formulas concerning pfaffians from it. We also present a pfaffian version of the Plücker relation and give a new pfaffian identity as its application.

Information

Published: 1 January 2000
First available in Project Euclid: 20 August 2018

zbMATH: 0980.15006
MathSciNet: MR1864479

Digital Object Identifier: 10.2969/aspm/02810133

Subjects:
Primary: 05A15 , 15A15
Secondary: 22E46 , 33C45

Keywords: Frobenius notation , generating function , Lewis–Carroll’s formula , Partition , Pfaffian , Plücker’s relation , Schur’s polynomial

Rights: Copyright © 2000 Mathematical Society of Japan

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