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20072025
most citedHow to Integrate a Polynomial over a Simplex

64 citations · 129 across the 15 of their papers we have counts for

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math.RT2025

Quiver subrepresentations and the Derksen-Weyman saturation property

Velleda Baldoni, Michèle Vergne, Michael Walter

Using Schofield's characterization of the dimension vectors of general subrepresentations of a representation of a quiver, we give a direct proof of the Derksen-Weyman saturation p…

math.RT2023

Tensor product of holomorphic discrete series representations of U(p,q) and quivers

Velleda Baldoni, Michèle Vergne

As shown by P-E Paradan, the set of orbits contained in the sum of two holomorphic orbits in the Lie algebra of U(p,q) is determined by a set of inequalities similar to the Horn in…

math.RT2018★ 5 cited

Horn inequalities and quivers

Velleda Baldoni, Michèle Vergne, Michael Walter

Let G be a complex reductive group acting on a finite-dimensional complex vector space H. Let B be a Borel subgroup of G and let T be the associated torus. The Mumford cone is the…

math.RT2016★ 12 cited

Computation of Dilated Kronecker Coefficients

Velleda Baldoni, Michèle Vergne, Michael Walter

The computation of Kronecker coefficients is a challenging problem with a variety of applications. In this paper we present an approach based on methods from symplectic geometry an…

math.RT2015★ 7 cited

Multiplicity of compact group representations and applications to Kronecker coefficients

Velleda Baldoni, Michele Vergne

These notes are an expanded version of a talk given by the second author. Our main interest is focused on the challenging problem of computing Kronecker coefficients. We decided, a…

math.RT2013

Multiple Bernoulli series and volumes of moduli spaces of flat bundles over surfaces

Velleda Baldoni, Arzu Boysal, Michèle Vergne

Using Szenes formula for multiple Bernoulli series we explain how to compute Witten series associated to classical Lie algebras. Particular instances of these series compute volume…