Geodesic
Plücker relations on Schur functions
Journal of Algebraic Combinatorics, Tome 13 (2001) no. 2, pp. 199-211.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: We present a set of algebraic relations among Schur functions which are a multi-time generalization of the $ldquo$discrete Hirota relations $rdquo$ known to hold among the Schur functions of rectangular partitions. We prove the relations as an application of a technique for turning Plücker relations into statements about Schur functions and other objects with similar definitions as determinants. We also give a quantum analogue of the relations which incorporates spectral parameters. Our proofs are mostly algebraic, but the relations have a clear combinatorial side, which we discuss.
Keywords: Schur function, plücker relation, Jacobi-trudi, quantum, Hirota relation 
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     author = {Kleber, Michael},
     title = {Pl\"ucker relations on {Schur} functions},
     journal = {Journal of Algebraic Combinatorics},
     pages = {199--211},
     publisher = {mathdoc},
     volume = {13},
     number = {2},
     year = {2001},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JAC_2001__13_2_a1/}
}
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Kleber, Michael. Plücker relations on Schur functions. Journal of Algebraic Combinatorics, Tome 13 (2001) no. 2, pp. 199-211. http://geodesic.mathdoc.fr/item/JAC_2001__13_2_a1/