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Artículo
Higher derivations of modules and the Hasse-Schmidt module
(Cornell University, 2020-07-28)
In this paper we revisit Ribenboim's notion of higher derivations of modules and relate it to the recent work of De Fernex and Docampo on the sheaf of differentials of the arc space. In particular, we derive their formula ...
Artículo
Symmetric functions in noncommuting variables
(American Mathematical Society, 2006)
Consider the algebra Qhhx1, x2, . . .ii of formal power series in countably many noncommuting variables over the rationals. The subalgebra Π(x1, x2, . . .) of symmetric functions in noncommuting variables consists of all ...
Artículo
Dwyer-Kan homotopy theory of enriched categories
(London Mathematical Society, 2015)
We construct a model structure on the category of small categories enriched over a combinatorial closed symmetric monoidal model category satisfying the monoid axiom. Weak equivalences are Dwyer–Kan equivalences, i.e. ...
Artículo
Torsion homology and cellular approximation
(Mathematical Sciences Publishers, 2019-02-06)
We describe the role of the Schur multiplier in the structure of the p-torsion of discrete groups. More concretely, we show how the knowledge of H2G allows us to approximate many groups by colimits of copies of p-groups. ...
Artículo
Gevrey Expansions of Hypergeometric Integrals II
(Oxford University Press, 2019-12-01)
We study integral representations of the Gevrey series solutions of irregular hypergeometric systems under certain assumptions. We prove that, for such systems, any Gevrey series solution, along a coordinate hyperplane of ...
Artículo
Une condition suffisante pour l'irréductibilité d'une induite parabolique de GL(m,D)
(Association des Annales de l'Institut Fourier, 2013)
Dans la théorie des représentations de GLn (et ses formes intérieures) sur un corps local non-archimédien, nous disposons de deux classifications, dues à Zelevinsky et Langlands, construites à partir de certaines représentations ...
Artículo
A positive proportion of elements of mapping class groups is pseudo-Anosov
(Wiley, 2018-03-28)
In the Cayley graph of the mapping class group of a closed surface, with respect to any generating set, we look at a ball of large radius centered on the identity vertex, and at the proportion among the vertices in this ...
Artículo
Godement resolutions and sheaf homotopy theory
(Springer, 2015-09)
The Godement cosimplicial resolution is available for a wide range of categories of sheaves. In this paper we investigate under which conditions of the Grothendieck site and the category of coefficients it can be used to ...
Artículo
The Kronecker product of Schur functions indexed by two-row shapes or hook shapes
(Springer, 2001-09)
The Kronecker product of two Schur functions sµ and sν, denoted by sµ ∗ sν, is the Frobenius characteristic of the tensor product of the irreducible representations of the symmetric group corresponding to the partitions ...
Artículo
On the singular braid monoid of an orientable surface
(American Mathematical Society, 2004)
In this paper we show that the singular braid monoid of an orientable surface can be embedded in a group. The proof is purely topological, making no use of the monoid presentation.