18 citations · 35 across the 8 of their papers we have counts for
13 papers
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…
The projective invariants of ordered points on the line
Benjamin J. Howard, John Millson, Andrew Snowden +1
The space of n (ordered) points on the projective line, modulo automorphisms of the line, is one of the most important and classical examples of an invariant theory quotient, and i…
Cycles with local coefficients for orthogonal groups and vector-valued Siegel modular forms
Jens Funke, John Millson
The theta correspondence has been an important tool in studying cycles in locally symmetric spaces of orthogonal type. We generalize the Kudla-Millson relation between intersection…
Polygons in buildings and their refined side lengths
Michael Kapovich, Bernhard Leeb, John J. Millson
As in a symmetric space of noncompact type, one can associate to an oriented geodesic segment in a Euclidean building a vector valued length in the Euclidean Weyl chamber; in addit…
Convex functions on symmetric spaces, side lengths of polygons and stability inequalities for weighted configurations at infinity
Misha Kapovich, Bernhard Leeb, John J. Millson
In a symmetric space of noncompact type X = G/K oriented geodesic segments correspond to points in the Euclidean Weyl chamber. We can hence assign vector-valued side-lengths to seg…
The cohomology with local coefficients of compact hyperbolic manifolds - long version
John J. Millson
We extend the techniques developed by Millson and Raghunathan to prove nonvanishing results for the cohomology of compact arithmetic quotients of hyperbolic n-space with values in…