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

Abstract

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

References in corpus (2)

• Chern class formulas for quiver varieties
• Littlewood-Richardson semigroups

Cited by in corpus (7)

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• $S$-Functions, Spectral Functions of Hyperbolic Geometry, and Vertex Operators with Applications to Structure for Weyl and Orthogonal Group Invariants
• Generalised Stretched Littlewood-Richardson Coefficients
• On the structures of hive algebras and tensor product algebras for general linear groups of low rank