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Artículo
Combinatorics on a family of reduced Kronecker coefficients
(Académie des Sciences, 2015-08-28)
The reduced Kronecker coefficients are particular instances of Kronecker coefficients, that nevertheless contain enough information to compute all Kronecker coefficients from them. In this note, we compute the generating ...
Artículo
Logarithmic differential operators and logarithmic de Rham complexes relative to a free divisor
(Elsevier, 1999)
We prove a structure theorem for differential operators in the 0-th term of the V-filtration relative to a free divisor. manifold. As an application, we give a formula for the logarithmic de Rham complex with respect to a ...
Tesis Doctoral
Artículo
Irregular modified A-Hypergeometric systems
(American Mathematical Society, 2015)
A modified A-hypergeometric system is a system of differential equations for the function f(t w · x) where f(y) is a solution of an A-hypergeometric system in n variables and w is an n dimensional integer vector, which is ...
Artículo
Computation of centralizers in braid groups and Garside groups
(Consejo Superior de Investigaciones Científicas, 2003)
We give a new method to compute the centralizer of an element in Artin braid groups and, more generally, in Garside groups. This method, together with the solution of the conjugacy problem given by the authors in [9] ...
Artículo
Tame Galois realizations of GSp4 (Fℓ) over Q
(Oxford University Press, 2011)
In this paper we obtain realizations of the 4-dimensional general symplectic group over a prime field of characteristic ℓ > 3 as the Galois group of a tamely ramified Galois extension of Q. The strategy is to consider ...
Artículo
Partial symmetries of iterated plethysms
(Springer, 2023-05-03)
This work highlights the existence of partial symmetries in large families of iterated plethystic coefficients. The plethystic coefficients involved come from the expansion in the Schur basis of iterated plethysms of Schur ...
Artículo
Bases for Projective modules in An(k)
(2003-12)
Let $A_n(k)$ be the Weyl algebra, with $k$ a field of characteristic zero. It is known that every projective finitely generated left module is free or isomorphic to a left ideal. Let $M$ be a left submodule of a free module. ...
Artículo
Commensurability in Artin groups of spherical type
(EMS Press, 2021-06-29)
We give an almost complete classification of Artin groups of spherical type up to commensurability. Let A and A0 be two Artin groups of spherical type, and let A1; : : : ; Ap (respectively, A0 1; : : : ; A0 q) be the ...
Artículo
Los números de (Euler)-Catalan
(Asociación Matemática Venezolana, 2003)