Generalized triangle inequalities and their applications

  • Michael Kapovich

    University of California at Davis, United States
Generalized triangle inequalities and their applications cover
Download Chapter PDF

A subscription is required to access this book chapter.

Abstract

We present a survey of our recent work on generalized triangle inequalities in infinitesimal symmetric spaces, nonpositively curved symmetric spaces and Euclidean buildings. We also explain how these results can be used to analyze some basic problems of algebraic group theory including the problem of decomposition of tensor products of irreducible representations of complex reductive Lie groups. Among the applications is a generalization of the Saturation Theorem of Knutson and Tao to Lie groups other than SL(n,ℂ).