Zobrazeno 1 - 10
of 35
pro vyhledávání: '"Baldoni, Velleda"'
Autor:
Baldoni, Velleda, Vergne, Michèle
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 inequalities for the sum of conjugacy classes of two Hermitian matrices.
Externí odkaz:
http://arxiv.org/abs/2304.02000
Publikováno v:
Pure and Applied Mathematics Quarterly, Vol. 19, No. 4 (2023), pp. 1687-1731
We give inductive conditions that characterize the Schubert positions of subrepresentations of a general quiver representation. Our results generalize Belkale's criterion for the intersection of Schubert varieties in Grassmannians and refine Schofiel
Externí odkaz:
http://arxiv.org/abs/1901.07194
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 polyhedral cone generated by the T-weights of the polynomial functions
Externí odkaz:
http://arxiv.org/abs/1804.00431
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 and residue calculus. We outline a general algorithm for the problem and
Externí odkaz:
http://arxiv.org/abs/1601.04325
Autor:
Baldoni, Velleda, Vergne, Michele
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, at the beginning, to take a very general approach to the problem of stu
Externí odkaz:
http://arxiv.org/abs/1506.02472
Let $P(b)\subset R^d$ be a semi-rational parametric polytope, where $b=(b_j)\in R^N$ is a real multi-parameter. We study intermediate sums of polynomial functions $h(x)$ on $P(b)$, $$ S^L (P(b),h)=\sum_{y}\int_{P(b)\cap (y+L)} h(x) \mathrm dx, $$ whe
Externí odkaz:
http://arxiv.org/abs/1410.8632
Publikováno v:
Mathematika 62 (2016) 653-684
We continue our study of intermediate sums over polyhedra, interpolating between integrals and discrete sums, which were introduced by A. Barvinok [Computing the Ehrhart quasi-polynomial of a rational simplex, Math. Comp. 75 (2006), 1449-1466]. By we
Externí odkaz:
http://arxiv.org/abs/1404.0065
Autor:
Baldoni, Velleda, Berline, Nicole, De Loera, Jesús, Dutra, Brandon, Köppe, Matthias, Vergne, Michèle
Publikováno v:
INTEGERS, vol 15 (2005), A11
For a given sequence $\mathbf{\alpha} = [\alpha_1,\alpha_2,\dots,\alpha_{N+1}]$ of $N+1$ positive integers, we consider the combinatorial function $E(\mathbf{\alpha})(t)$ that counts the nonnegative integer solutions of the equation $\alpha_1x_1+\alp
Externí odkaz:
http://arxiv.org/abs/1312.7147
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 volumes of moduli spaces of flat bundles over surfaces, and also certain mul
Externí odkaz:
http://arxiv.org/abs/1301.4127
We study intermediate sums, interpolating between integrals and discrete sums, which were introduced by A. Barvinok [Computing the Ehrhart quasi-polynomial of a rational simplex, Math. Comp. 75 (2006), 1449--1466]. For a given semi-rational polytope
Externí odkaz:
http://arxiv.org/abs/1011.6002