Department of Mathematics
The saturation conjecture (after A. Knutson and T. Tao)
- Author(s): Buch, Anders S.
- et al.
Published Web Locationhttps://arxiv.org/pdf/math/9810180.pdf
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.