• Tesis Doctoral
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      N-categorías un modelo categorial de la lógica 

      Riscos Fernández, Agustín (1984)
      En el Capítulo I introducimos el primero de los conceptos básicos que presentamos: Las N-categorías.El Capítulo II está ...
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      Necessary conditions for the positivity of Littlewood–Richardson and plethystic coefficients 

      Gutiérrez Cáceres, Álvaro; Rosas Celis, Mercedes Helena (Académie des Sciences, 2023-01-26)
      We give necessary conditions for the positivity of Littlewood–Richardson coefficients and SXP coefficients. We deduce ...
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      New presentations of surface braid groups 

      González-Meneses López, Juan (World Scientific Publishing, 2001)
      In this paper we give new presentations of the braid groups and the pure braid groups of a closed surface. We also give an algorithm to solve the word problem in these groups, using the given presentations.
    • Capítulo de Libro
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      Nouvelle Cuisine for the Computation of the Annihilating Ideal of $f^s$ 

      Gago Vargas, Manuel Jesús; Hartillo Hermoso, Isabel; Ucha Enríquez, José María (2005)
      Let $f_1,\ldots, f_p$ be polynomials in ${\bf C}[x_1,\ldots, x_n]$ and let $D = D_n$ be the $n$-th Weyl algebra. The ...
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      Los números de (Euler)-Catalan 

      Rosas Celis, Mercedes Helena (Asociación Matemática Venezolana, 2003)
    • Artículo
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      On a conjecture by Kauffman on alternative and pseudoalternating links 

      Silvero Casanova, Marithania (Elsevier, 2015-06)
      It is known that alternative links are pseudoalternating. In 1983 Louis Kauffman conjectured that both classes are identical. ...
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      On a determinantal formula of Tadić 

      Lapid, Erez M.; Mínguez Espallargas, Alberto (Johns Hopkins University Press, 2014-02)
      We study a special class of irreducible representations of GLn over a local non-Archimedean field which we call ladder ...
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      On conjectures of Sato-Tate and Bruinier-Kohnen 

      Arias de Reyna Domínguez, Sara; Inam, Ilker; Wiese, Gabor (Springer, 2015-04)
      This article covers three topics. (1) It establishes links between the density of certain subsets of the set of primes and ...
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      On determinant functors and K-theory 

      Muro Jiménez, Fernando; Tonks, Andrew; Witte, Malte (Universitat Autònoma de Barcelona, 2015)
      We extend Deligne’s notion of determinant functor to Waldhausen categories and (strongly) triangulated categories. We ...
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      On dilatation factors of braids on three strands 

      Aguilera Gómez del Castillo, Marta (World Scientific Publishing, 2015-04)
      In this work we present a natural surjective map from rigid braids in B3 (in Garside sense) to SL2(N). This map provides ...
    • Capítulo de Libro
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      On Hasse–Schmidt Derivations: The Action of Substitution Maps 

      Narváez Macarro, Luis (Springer, 2018-09-19)
      We study the action of substitution maps between power series rings as an additional algebraic structure on the groups of Hasse–Schmidt derivations. This structure appears as a counterpart of the module structure on classical derivations.
    • Tesis Doctoral
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      On homotopical algebra and quantum field theories 

      Carmona Sánchez, Víctor (2023-07-21)
      Esta memoria está dedicada al estudio de la teoría de homotopía de álgebras operádicas y sus aplicaciones en teoría ...
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      On irregular binomial D-modules 

      Fernández Fernández, María Cruz; Castro Jiménez, Francisco Jesús (Springer, 2012-12)
      We prove that a holonomic binomial D–module MA(I, β) is regular if and only if certain associated primes of I determined ...
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      On loxodromic actions of Artin–Tits groups 

      Cumplido Cabello, María (Elsevier, 2018-04-10)
      Artin–Tits groups act on a certain delta-hyperbolic complex, called the “additional length complex”. For an element of the ...
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      On reduction curves and Garside properties of braids 

      González-Meneses López, Juan (American Mathematical Society, 2011)
      In this paper we study the reduction curves of a braid, and how they can be used to decompose the braid into simpler ones ...
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      On simultaneous arithmetic progressions on elliptic curves 

      García Selfa, Irene; Tornero Sánchez, José María (Taylor & Francis, 2006)
      In this paper we study elliptic curves which have a number of points whose coordinates are in arithmetic progression. We ...
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      On the bracket of integrable derivations 

      Narváez Macarro, Luis; Tirado Hernández, María de la Paz (Elsevier, 2021-05-15)
      We prove that any multi-variate Hasse–Schmidt derivation can be decomposed in terms of substitution maps and uni-variate ...
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      On the centralizer of generic braids 

      González-Meneses López, Juan; Valladares García, Dolores (De Gruyter, 2018-11)
      We study the centralizer of a braid from the point of view of Garside theory, showing that generically a minimal set of ...
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      On the computation of the Apéry set of numerical monoids and affine semigroups 

      Márquez Campos, Guadalupe; Ojeda, Ignacio; Tornero Sánchez, José María (Springer, 2014-10-01)
      A simple way of computing the Apéry set of a numerical semigroup (or monoid) with respect to a generator, using Groebner ...
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      On the cycling operation in braid groups 

      González-Meneses López, Juan; Gebhardt, Volker (Elsevier, 2008-09-06)
      The cycling operation is a special kind of conjugation that can be applied to elements in Artin’s braid groups, in order ...