86 citations · 543 across the 59 of their papers we have counts for
5 papers · 1 filter
Ideal triangles in Euclidean buildings and branching to Levi subgroups
Thomas J. Haines, Michael Kapovich, John J. Millson
We introduce the notion of ideal triangle in the Bruhat-Tits building associated to a split group -- it is analogous to the usual notion of triangle, but one vertex is "at infinity…
Saturation and Irredundancy for Spin(8)
Michael Kapovich, Shrawan Kumar, John J. Millson
We explicitly calculate the triangle inequalities for the group PSO(8). Therefore we explicitly solve the eigenvalues of sum problem for this group (equivalently describing the sid…
Structure of the tensor product semigroup
Michael Kapovich, John J. Millson
We study structure of the semigroup Tens(G) consisting of triples of dominant weights (λ,μ,ν) of a complex reductive Lie group G such that the triple tensor product of the correspo…
A path model for geodesics in Euclidean buildings and its applications to representation theory
Michael Kapovich, John J. Millson
In this paper we give a combinatorial characterization of projections of geodesics in Euclidean buildings to Weyl chambers. We apply these results to the representation theory of c…
The generalized triangle inequalities in symmetric spaces and buildings with applications to algebra
Michael Kapovich, Bernhard Leeb, John J. Millson
In this paper we apply our results on the geometry of polygons in Cartan subspaces, symmetric spaces and buildings to four problems in algebraic group theory. Two of these problems…