%0 Journal Article %T The generalized triangle inequalities for rank 3 symmetric spaces of noncompact type %A Shrawan Kumar %A Bernhard Leeb %A John J. Millson %J Mathematics %D 2003 %I arXiv %X We compute the generalized triangle inequalities explicitly for all rank 3 symmetric spaces. We find that for Sp(6) the corresponding polyhedral cone has 102 facets and 51 edges. %U http://arxiv.org/abs/math/0303264v2