Bijective proofs for Schur function identities which imply Dodgson's condensation formula and Plücker relations

Markus Fulmek, Michael Kleber

Abstract


We present a "method" for bijective proofs for determinant identities, which is based on translating determinants to Schur functions by the Jacobi–Trudi identity. We illustrate this "method" by generalizing a bijective construction (which was first used by Goulden) to a class of Schur function identities, from which we shall obtain bijective proofs for Dodgson's condensation formula, Plücker relations and a recent identity of the second author.


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