Abstract.
Using dierected graphs, we present a combinatorial model for the polynomial matrices corresponding to representations of the general linear groups. In doing so, we obtain a very simple combinatorial rule to multiply basic elements of the Schur algebra.
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Received December 5, 2000
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Méndez, M. Directed Graphs and the Combinatorics of the Polynomial Representations of \( GL_n (\mathbb{C}) \) . Annals of Combinatorics 5, 459–478 (2001). https://doi.org/10.1007/s00026-001-8022-8
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DOI: https://doi.org/10.1007/s00026-001-8022-8