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La labor docente del profesor de matemáticas
(Sociedad Española de Matemática Aplicada, 2003)
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Invariants and coinvariants of the symmetric group in noncommuting variables
(University of Toronto Press, 2008)
We introduce a natural Hopf algebra structure on the space of noncommutative symmetric functions. The bases for this algebra are indexed by set partitions. We show that there exists a natural inclusion of the Hopf algebra ...
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Moment zeta functions for toric Calabi-Yau hypersurfaces
(International Press, 2007)
Moment zeta functions provide a diophantineformulation for the distribution of rational points on afamily of algebraic varieties over finite fields. They also formalgebraic approximations to Dwork’s pp-adic unit rootzeta ...
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Thue equations and torsion groups of elliptic curves
(Elsevier, 2009-02)
A new characterization of rational torsion subgroups of elliptic curves is found, for points of order greater than 4, through the existence of solution for systems of Thue equations.
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A combinatorial overview of the Hopf algebra of MacMahon symmetric functions
(Springer, 2002-11)
A MacMahon symmetric function is a formal power series in a finite number of alphabets that is invariant under the diagonal action of the symmetric group. In this article, we give a combinatorial overview of the Hopf algebra ...
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Comparison of theoretical complexities of two methods for computing annihilating ideals of polynomials
(2005)
Let f1, . . . , fp be polynomials in C[x1, . . . , xn] and let D = Dn be the n-th Weyl algebra. We provide upper bounds for the complexity of computing the annihilating ideal of f s = f s1 1 · · · f sp p in D[s] = D[s1, . ...
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Secondary homotopy groups
(De Gruyter, 2008-07)
Secondary homotopy groups supplement the structure of classical homotopy groups. They yield a track functor on the track category of pointed spaces compatible with fiber sequences, suspensions and loop spaces. They also ...
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Conjugacy in Garside groups I: Cyclings, powers, and rigidity
(European Mathematical Society, 2007)
In this paper a relation between iterated cyclings and iterated powers of elements in a Garside group is shown. This yields a characterization of elements in a Garside group having a rigid power, where ‘rigid’ means that ...
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Correspondance de Howe explicite: paires duales de type II
(Société Mathématique de France, 2008)
Dans cet article, nous proposons une nouvelle méthode pour démontrer la bijectivité de la correspondance de Howe pour les paires duales du type (GLn, GLm) sur un corps F localement compact non archimédien. La preuve est ...
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Coefficient fields and scalar extension in positive characteristic
(Elsevier, 2005-03-15)
Let k be a perfect field of positive characteristic, k(t)per the perfect closure of k(t) and A = k[[X1, . . . , Xn]]. We show that for any maximal ideal n of A′ = k(t)per ⊗k A, the elements in Ac′ n which are annihilated ...