Directed Graphs and the Combinatorics of the Polynomial Representations of $ GL_n (\mathbb{C}) $

Miguel A Méndez

doi:10.1007/s00026-001-8022-8

Directed Graphs and the Combinatorics of the Polynomial Representations of $ GL_n (\mathbb{C}) $

Miguel A Méndez

https://doi.org/10.1007/s00026-001-8022-8

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Journal: Annals of Combinatorics	Publication Date: Dec 1, 2001
Citations: 2

#Model For Matrices #Representations Of Groups + Show 8 more

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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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