Work

More minor summation formulae

Year: 2026

Type: preprint

Abstract: We prove determinantal-Pfaffian formulae that simultaneously generalise the Pfaffian minor summation formula of Ishikawa and Wakayama and Byun's recent minor summation formula. These formulae are based on factorisation formulae for the determinant of the sum of a skew-symmetric matrix and a rank-1 matrix. Applications include a Cauchy-type identity for skew Schur functions.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2603.21021

Authors: Chern, Shane, Eisenkölbl, Theresia, Fischer, Ilse, Gangl, Moritz, Gatzweiler, Mona, Gutiérrez, Álvaro, Krattenthaler, Christian, Kumari, Nishu, Reibnegger, Markus, Schönfelder, Marcus, Yoshida, Atsuro

Institutions: University of Vienna, University of Bristol

Topic: Advanced Combinatorial Mathematics

Subfield: Discrete Mathematics and Combinatorics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funder: Austrian Science Fund

Awards: Alternating Sign Arrays and Plane Partitions, G9000308504

OpenAlex ID: W7140167695

Cites:

Cited by:

Related to: