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math.RT2005★ 1 cited
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…
math.RT2002★ 5 cited
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…