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Mostrando ítems 1-10 de 13
Artículo
The symmetric action on secondary homotopy groups
(The Belgian Mathematical Society, 2008-11)
We show that the symmetric track groups Sym(n), which are extensions of the symmetric groups Sym(n) associated to the second Stiefel-Whitney class, act as crossed modules on the secondary homotopy groups of a pointed space.
Artículo
Linearity conditions on the Jacobian ideal and logarithmic--meromorphic comparison for free divisors
(Cornell University, 2008-04-14)
In this paper we survey the role of D-module theory in the comparison between logarithmic and meromorphic de Rham complexes of integrable logarithmic connections with respect to free divisors, and we present some new ...
Artículo
On the cycling operation in braid groups
(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 to reduce their length. It is a key ingredient of the usual solutions to the conjugacy problem in ...
Artículo
The defining ideals of conjugacy classes of nilpotent matrices and a conjecture of Weyman
(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 ...
Artículo
Conjugacy in Garside groups II: Structure of the ultra summit set
(European Mathematical Society, 2008)
This paper is the second in a series in which the authors study the conjugacy decision problem (CDP) and the conjugacy search problem (CSP) in Garside groups. The ultra summit set USS(X) of an element X in a Garside group ...
Ponencia
The Chemist's Cabinet Puzzle: a polynomial approach
(Universidad de Granada. Departamento de Álgebra, 2008-09)
Realizamos un análisis del juego conocido por el herbolario. Se modeliza su solución mediante un sistema polinómico, y deducimos el número de soluciones a partir de herramientas de Álgebra Conmutativa.
Artículo
Maltsiniotis's first conjecture for K1
(Duke University Press, 2008)
We show that K1(E) of an exact category E agrees with K1(DE) of the associated triangulated derivator DE. More generally we show that K1(W) of a Waldhausen category W with cylinders and a saturated class of weak equivalences ...
Artículo
On the Sn-module structure of the noncommutative harmonics
(Elsevier, 2008-08)
Using the a noncommutative version of Chevalley’s theorem due to Bergeron, Reutenauer, Rosas, and Zabrocki we compute the graded Frobenius series for their two sets of noncommutative harmonics with respect to the left ...
Artículo
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 ...
Artículo
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 ...