## Advanced Studies in Pure Mathematics

### Minor Summation Formulas of Pfaffians, Survey and A New Identity

#### 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.

#### Article information

Dates
First available in Project Euclid: 20 August 2018

https://projecteuclid.org/ euclid.aspm/1534789258

Digital Object Identifier
doi:10.2969/aspm/02810133

Mathematical Reviews number (MathSciNet)
MR1864479

Zentralblatt MATH identifier
0980.15006

#### Citation

Ishikawa, Masao; Wakayama, Masato. Minor Summation Formulas of Pfaffians, Survey and A New Identity. Combinatorial Methods in Representation Theory, 133--142, Mathematical Society of Japan, Tokyo, Japan, 2000. doi:10.2969/aspm/02810133. https://projecteuclid.org/euclid.aspm/1534789258