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Tres lecciones en combinatoria algebraica. II. Las funciones sim\'etricas y la teor\'{i}a de representaciones
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Tres lecciones en combinatoria algebraica. II. Las funciones sim\'etricas y la teor\'{i}a de representaciones
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En esta serie de tres articulos, damos una exposicion de varios resultados y problemas abiertos en tres areas de la combinatoria algebraica y geometrica: las matrices totalmente no negativas, las representaciones del grupo simetrico, y los arreglos de hiperplanos. Esta segunda parte trata la coneccion entre las funciones simetricas y la teoria de representaciones. In this series of three articles, we give an exposition of various results and open problems in three areas of algebraic and geometric combinatorics: totally non-negative matrices, representations of the symmetric group, and hyperplane arrangements. This second part treats the connection between symmetric functions and representation theory.
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