Browsing Artículos (Álgebra) by Title
Now showing items 169188 of 202

Tame Galois realizations of GSp4 (Fℓ) over Q [Article]
(Oxford University Press, 2011)In this paper we obtain realizations of the 4dimensional general symplectic group over a prime field of characteristic ℓ > 3 as the Galois group of a tamely ramified Galois extension of Q. The strategy is to consider ...

The 1type of a Waldhausen Ktheory spectrum [Article]
(Elsevier, 20071201)We give a small functorial algebraic model for the 2stage Postnikov section of the Ktheory spectrum of a Waldhausen category and use our presentation to describe the multiplicative structure with respect to biexact functors.

The algebra of secondary homotopy operations in ring spectra [Article]
(London Mathematical Society, 2011)The primary algebraic model of a ring spectrum R is the ring π∗R of homotopy groups. We introduce the secondary model π∗,∗R which has the structure of a secondary analogue of a ring. The homology of π∗,∗R is π∗R and ...

The analytic standard fan of a Dmodule [Article]
(Elsevier, 20011024)We extend to the analytic Dmodule case our results in the algebraic case, namely, we associate with any monogeneous module over the ring D of germs of linear differential operators at the origin of Cn, with holomorphic ...

The characteristic cohomology class of a triangulated category [Article]
(2005)The concept of a triangulated homotopy category can be canonically lifted to the level of a groupoidenriched category. This way two natural axioms on track triangles replace the four somewhat obscure axioms of a triangulated ...

The computation of the logarithmic cohomology for plane curves [Article]
(Elsevier, 20091201)We will give algorithms of computing bases of logarithmic cohomology groups for squarefree polynomials in two variables.

The conservation relation for cuspidal representations [Article]
(Springer, 201201)Let π ∈ Cusp (U(Vn)) be a smooth cuspidal irreducible representation of a unitary group U(Vn) of dimension n over a nonArchimedean locally compact field. Let W± m the two isomorphism classes of Hermitian spaces of dimension ...

The cyclic sliding operation in Garside groups [Article]
(Springer, 201005)We present a new operation to be performed on elements in a Garside group, called cyclic sliding, which is introduced to replace the well known cycling and decycling operations. Cyclic sliding appears to be a more natural ...

The defining ideals of conjugacy classes of nilpotent matrices and a conjecture of Weyman [Article]
(Oxford University Press, 2008)Tanisaki introduced generating sets for the defining ideals of the schematic intersections of the closure of conjugacy classes of nilpotent matrices with the set of diagonal matrices. These ideals are naturally labeled by ...

The Gröbner fan of an Anmodule [Article]
(Elsevier, 20000614)Let I be a nonzero left ideal of the Weyl algebra An of order n over a field k and let L:R2n→R be a linear form defined by L(α,β)=∑i=1neiαi+∑i=1nfiβi. If ei+fi≥0, then L defines a filtration F•L on An. Let grL(I) be the ...

The Kronecker product of Schur functions indexed by tworow shapes or hook shapes [Article]
(Springer, 200109)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 ...

The local duality theorem in Dmodule theory [Article]
(Société Mathématique de France, 2004)These notes are devoted to the Local Duality Theorem for Dmodules, which asserts that the topological GrothendieckVerdier duality exchanges the de Rham complex and the solution complex of holonomic modules over a complex ...

The module Dfs for locally quasihomogeneous free divisors [Article]
(Springer, 200210)We find explicit free resolutions for the Dmodules Dfs and D[s]fs/D[s]f s+1, where f is a reduced equation of a locally quasihomogeneous free divisor. These results are based on the fact that every locally quasihomogeneous ...

The Newton Procedure for several variables [Article]
(Elsevier, 20110715)Let us consider an equation of the form P(x, z) = zm + w1(x)zm−1 + · · · + wm−1(x)z + wm(x) = 0, where m>1, n>1, x=(x1⋯xn) is a vector of variables, k is an algebraically closed field of characteristic zero, View the ...

The nth root of a braid is unique up to conjugacy [Article]
(Mathematical Sciences Publishers, 20031101)We prove a conjecture due to Makanin: if α and β are elements of the Artin braid group Bn such that α k = β k for some nonzero integer k, then α and β are conjugate. The proof involves the NielsenThurston classification ...

The regularity of a toric variety [Article]
(Elsevier, 20010301)We give a method for computing the degrees of the minimal syzygies of a toric variety by means of combinatorial techniques. Indeed, we complete the explicit description of the minimal free resolution of the associated ...

The stability of the Kronecker products of Schur functions [Article]
(Elsevier, 20110401)In the late 1930’s Murnaghan discovered the existence of a stabilization phenomenon for the Kronecker product of Schur functions. For n sufficiently large, the values of the Kronecker coefficients appearing in the product ...

The symmetric action on secondary homotopy groups [Article]
(The Belgian Mathematical Society, 200811)We show that the symmetric track groups Sym(n), which are extensions of the symmetric groups Sym(n) associated to the second StiefelWhitney class, act as crossed modules on the secondary homotopy groups of a pointed space.

Thue equations and torsion groups of elliptic curves [Article]
(Elsevier, 200902)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.

Toda brackets and cupone squares for ring spectra [Article]
(Taylor & Francis, 2009)In this paper we prove the laws of Toda brackets on the homotopy groups of a connective ring spectrum and the laws of the cupone square in the homotopy groups of a commutative connective ring spectrum.