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Rectangular symmetries for coefficients of symmetric functions
(American Mathematical Society, 2015)
We show that some of the main structural constants for symmetric functions (Littlewood-Richardson coefficients, Kronecker coefficients, plethysm coefficients, and the Kostka–Foulkes polynomials) share symmetries related ...
Artículo
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Unramified ℓ-modular representations of GLn(F) and its inner forms
(Oxford University Press, 2014)
Let F be a non-Archimedean locally compact field of residue characteristic p and R be an algebraically closed field of characteristic l different from p. Let G be the group GLn, n ¥ 1, over F or one of its inner forms. In ...
Artículo
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Characterization of Gaps and Elements of a Numerical Semigroup Using Groebner Bases
(Cornell University, 2019-07-02)
This article is partly a survey and partly a research paper. It tackles the use of Groebner bases for addressing problems of numerical semigroups, which is a topic that has been around for some years, but it does it in a ...
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Mesa Redonda «Investigación: Presente y Futuro», Granada, 6 de febrero de 2015
(Real Sociedad Matemática Española, 2015)
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Classification of subgroups of symplectic groups over finite fields containing a transvection
(De Gruyter Open, 2016-06)
In this note, we give a self-contained proof of the following classification (up to conjugation) of finite subgroups of GSpnpF`q containing a nontrivial transvection for ≥ 5, which can be derived from work of Kantor: G ...
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Entrevista a Isabel Fernández, conferenciante invitada al ICM 2010
(Real Sociedad Matematica Española, 2010)
Isabel Fernández, de la Universidad de Sevilla, es conferenciante invitada junto con Pablo Mira (Universidad Politécnica de Cartagena) a la sección de Geometría del próximo ICM, que se celebrará en agosto en Hyderabad ...
Ponencia
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Lógicas polivalentes y bases de Gröbner
(1987)
El objetivo de la comunicación es presentar una aplicación de las bases de Gröbner a la demostración automática en lógicas proposicionales polivalentes. La estructura de la comunicación es la siguiente: En la sección 1, ...
Artículo
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A computational approach to the D-module of meromorphic functions
(2001)
Let D be a divisor in Cn. We present methods to compare the D-module of the meromorphic functions O[∗D] to some natural approximations. We show how the analytic case can be treated with computations in the Weyl algebra.
Artículo
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Homotopy theory of nonsymmetric operads
(Mathematical Sciences Publishers, 2011)
We endow categories of nonsymmetric operads with natural model structures. We work with no restriction on our operads and only assume the usual hypotheses for model categories with a symmetric monoidal structure. We also ...
Artículo
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Necessary conditions for the positivity of Littlewood–Richardson and plethystic coefficients
(Académie des Sciences, 2023-01-26)
We give necessary conditions for the positivity of Littlewood–Richardson coefficients and SXP coefficients. We deduce necessary conditions for the positivity of the plethystic coefficients. Explicitly, our main result ...