More minor summation formulae
(17 pages)
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.
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