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Lattice path proof of the ribbon determinant formula for Schur functions
Published online by Cambridge University Press: 22 January 2016
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In this note we give a lattice path proof of the ribbon determinant formula for Schur functions ((1) below) which was originally formulated and proved in [2].
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- Copyright © Editorial Board of Nagoya Mathematical Journal 1991
References
[ 1 ]
Gessel, I. M. and Viennot, G., Determinants, paths, and plane partitions, preprint, July 1989.Google Scholar
[ 2 ]
Lascoux, A. and Pragacz, P., Ribbon Schur functions, Europ. J. Combinatorics, 9 (1988), 561–574.CrossRefGoogle Scholar
[ 3 ]
Macdonald, I. G., Symmetric Functions and Hall Polynomials, Oxford Univ. Press, 1979.Google Scholar
[ 4 ]
Stanton, D. and White, D., Constructive Combinatorics, Springer, New York, 1986.CrossRefGoogle Scholar
[ 5 ]
Stembridge, J. R., Nonintersecting paths, Pfaffians, and plane partitions, Advances in Math., 83 (1990), 96–131.Google Scholar
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