The saturation conjecture (after A. Knutson and T. Tao)

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In this exposition we give a simple and complete treatment of A. Knutson and T. Tao's recent proof (http://front.math.ucdavis.edu/math.RT/9807160) of the saturation conjecture, which asserts that the Littlewood-Richardson semigroup is saturated. The main tool is Knutson and Tao's hive model for Berenstein-Zelevinsky polytopes. In an appendix of W. Fulton it is shown that the hive model is equivalent to the original Littlewood-Richardson rule.
Latex document, 12 pages, 24 figures

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Combinatorics, Representation Theory, 05E15 (Primary) 06B15, 05E10 (Secondary)

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http://salesiana.dossiersoluciones.com/handle/123456789/77633

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/9810180
 http://arxiv.org/abs/math/9810180

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arXiv