Abstract
We give sign-reversing involution proofs of a pair of two variable Pfaffian identities. Applications to symmetric function theory are given, including identities relating Pfaffians and Schur functions. As a corollary we are able to compute the plethysm \(p_2 \circ s_{k^n}\).
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Sundquist, T. Two Variable Pfaffian Identities and Symmetric Functions. Journal of Algebraic Combinatorics 5, 135–148 (1996). https://doi.org/10.1023/A:1022417201878
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DOI: https://doi.org/10.1023/A:1022417201878