Geodesic
Bijective proofs for Schur function identities which imply Dodgson's condensation formula and Plücker relations
The electronic journal of combinatorics, Tome 8 (2001) no. 1
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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.
DOI : 10.37236/1560
Classification : 05A19, 05E05, 05E10
Mots-clés : Schur functions, nonintersecting lattice paths, Dodgson's condensation formula, Plücker relations, determinant identity 
@article{10_37236_1560,
     author = {Markus Fulmek and Michael Kleber},
     title = {Bijective proofs for {Schur} function identities which imply {Dodgson's} condensation formula and {Pl\"ucker} relations},
     journal = {The electronic journal of combinatorics},
     year = {2001},
     volume = {8},
     number = {1},
     doi = {10.37236/1560},
     zbl = {0978.05005},
     url = {http://geodesic.mathdoc.fr/articles/10.37236/1560/}
}
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Markus Fulmek; Michael Kleber. Bijective proofs for Schur function identities which imply Dodgson's condensation formula and Plücker relations. The electronic journal of combinatorics, Tome 8 (2001) no. 1. doi: 10.37236/1560

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