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

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

1998-10-30

arxiv.org/abs/math/9810180v1

Mathematics

Combinatorics

Latex document, 12 pages, 24 figures

Scientific paper

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.

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