Browsing Artículos (Álgebra) by Title
Now showing items 154173 of 211

Rank one discrete valuations of power series fields [Article]
(Taylor & Francis, 2007)In this paper we study rank one discrete valuations of the field k((X1, . . . , Xn)) whose center in k[[X1, . . . , Xn]] is the maximal ideal. In sections 2 to 6 we give a construction of a system of parametric equations ...

Rationality of trace and norm Lfunctions [Article]
(Duke University Press, 20120615)For a given ladic sheaf F on a commutative algebraic group G over a finite field k and an integer r ≥ 1 we define the rth local norm Lfunction of F at a point t ∈ G(k) and prove its rationality. This function ...

Rectangular symmetries for coefficients of symmetric functions [Article]
(American Mathematical Society, 2015)We show that some of the main structural constants for symmetric functions (LittlewoodRichardson coefficients, Kronecker coefficients, plethysm coefficients, and the Kostka–Foulkes polynomials) share symmetries related ...

Reduced Kronecker coefficients and counterexamples to Mulmuley's strong saturation conjecture SH [Article]
(Springer, 200912)We provide counter–examples to Mulmuley’s strong saturation conjecture (strong SH) for the Kronecker coefficients. This conjecture was proposed in the setting of Geometric Complexity Theory to show that deciding whether ...

Reducible braids and Garside theory [Article]
(Geometry & Topology Publications, 2011)We show that reducible braids which are, in a Garsidetheoretical sense, as simple as possible within their conjugacy class, are also as simple as possible in a geometric sense. More precisely, if a braid belongs to a ...

Representation theory of some infinitedimensional algebras arising in continuously controlled algebra and topology [Article]
(Springer, 2004)In this paper we determine the representation type of some algebras of infinite matrices continuously controlled at infinity by a compact metrizable space. We explicitly classify their finitely presented modules in the ...

Représentations banales de GLm(D) [Article]
(Foundation Compositio Mathematica, 2013)Let F be a nonArchimedean locally compact field of residue characteristic p, let D be a finite dimensional central division Falgebra and let R be an algebraically closed field of characteristic different from p. We define ...

Représentations lisses modulo ℓ de GLm(D) [Article]
(Duke University Press, 20140315)Soit F un corps localement compact non archimédien de caractéristique résiduelle p, soit D une algèbre à division centrale de dimension finie sur F et soit R un corps algébriquement clos de caractéristique différente de ...

Resolutions of De ConciniProcesi ideals of hooks [Article]
(Taylor & Francis, 2007)We find a minimal generating set for the defining ideal of the schematic intersection of the set of diagonal matrices with the closure of the conjugacy class of a nilpotent matrix indexed by a hook partition. The structure ...

Restriction of hypergeometric Dmodules with respect to coordinate subspaces [Article]
(American Mathematical Society, 2011)We compute the restriction of an Ahypergeometric Dmodule with respect to a coordinate subspace under certain genericity conditions on the parameter.

Searching for simultaneous arithmetic progressions on elliptic curves [Article]
(Australian Mathematical Society, 200506)We look for elliptic curves featuring rational points whose coordinates form two arithmetic progressions, one for each coordinate. A constructive method for creating such curves is shown, for lengths up to 5.

Secondary homotopy groups [Article]
(De Gruyter, 200807)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 ...

Semblanza del profesor don Gonzalo Sánchez Vázquez [Article]
(Federación Española de Profesores de Matemáticas, 199706) 
Smash products for secondary homotopy groups [Article]
(Springer, 200810)We construct a smash product operation on secondary homotopy groups yielding the structure of a lax symmetric monoidal functor. Applications on cupone products, Toda brackets and Whitehead products are considered.

Solving the conjugacy problem in Garside groups by cyclic sliding [Article]
(Elsevier, 201006)We present a solution to the conjugacy decision problem and the conjugacy search problem in Garside groups, which is theoretically simpler than the usual one, with no loss of efficiency. This is done by replacing the well ...

Some combinatorial remarks on normal flatness in analytic spaces [Article]
(Mathematical Society of the Republic of China, 201406)In this article we present a combinatorial treatment of normal flatness in analytic spaces, using the idea of equimultiple standard bases. We will prove, using purely combinatorial methods, a characterization theorem for ...

Some geometric aspects of Puiseux surfaces [Article]
(European Mathematical Society, 2003)The following problem is treated: Characterizing the tangent cone and the equimultiple locus of a Puiseux surface (that is, an algebroid embedded surface admitting an equation whose roots are Puiseux power series), using ...

Specializations of MacMahon symmetric functions and the polynomial algebra [Article]
(Elsevier, 20020306)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. We use a combinatorial construction of the different bases of the ...

Strongly quasipositive links with braid index 3 have positive Conway polynomial [Article]
(World Scientific, 201610)Strongly quasipositive links are those links which can be seen as closures of positive braids in terms of band generators. In this paper we give a necessary condition for a link with braid index 3 to be strongly quasipositive, ...

Sudokus and Gröbner Bases: not only a Divertimento [Chapter of Book]
(2006)Sudoku is a logicbased placement puzzle. We recall how to translate this puzzle into a 9colouring problem which is equivalent to a (big) algebraic system of polynomial equations. We study how far Gröbner bases techniques ...