INST.ARG.DE MATEMATICAS "ALBERTO CALDERON"
http://hdl.handle.net/11336/452
CONSEJO NAC.DE INVEST.CIENTIF.Y TECNICAS / OFICINA DE COORDINACION ADMINISTRATIVA SAAVEDRA 15 / INST.ARG.DE MATEMATICAS "ALBERTO CALDERON"Sun, 21 Apr 2019 14:49:49 GMT2019-04-21T14:49:49ZOn the centralizers in the Weyl algebra
http://hdl.handle.net/11336/68755
On the centralizers in the Weyl algebra
Guccione, Jorge Alberto; Guccione, Juan Jose; Valqui, Christian
Let P, Q be elements of the Weyl algebra W. We prove that if [Q, P] = 1, then the centralizer of P is the polynomial algebra k[P].
Sun, 01 Apr 2012 00:00:00 GMThttp://hdl.handle.net/11336/687552012-04-01T00:00:00ZCohomology ring of differential operator rings
http://hdl.handle.net/11336/68493
Cohomology ring of differential operator rings
Carboni, Graciela; Guccione, Jorge Alberto; Guccione, Juan Jose
We compute the multiplicative structure in the Hochschild cohomology ring of a differential operators ring and the cap product of Hochschild cohomology on the Hochschild homology.
Mon, 01 Aug 2011 00:00:00 GMThttp://hdl.handle.net/11336/684932011-08-01T00:00:00ZUniversal deformation formulas and braided module algebras
http://hdl.handle.net/11336/68459
Universal deformation formulas and braided module algebras
Guccione, Jorge Alberto; Guccione, Juan Jose; Valqui, Christian
We study formal deformations of a crossed product S(V)#fG, of a polynomial algebra with a group, induced from a universal deformation formula introduced by Witherspoon. These deformations arise from braided actions of Hopf algebras generated by automorphisms and skew derivations. We show that they are non-trivial in the characteristic free context, even if G is infinite, by showing that their infinitesimals are not coboundaries. For this we construct a new complex which computes the Hochschild cohomology of S(V)#fG.
Tue, 01 Mar 2011 00:00:00 GMThttp://hdl.handle.net/11336/684592011-03-01T00:00:00ZConvex Potentials and Optimal Shift Generated Oblique Duals in Shift Invariant Spaces
http://hdl.handle.net/11336/66587
Convex Potentials and Optimal Shift Generated Oblique Duals in Shift Invariant Spaces
Benac, Maria Jose; Massey, Pedro Gustavo; Stojanoff, Demetrio
We introduce extensions of the convex potentials for finite frames (e.g. the frame potential defined by Benedetto and Fickus) in the framework of Bessel sequences of integer translates of finite sequences in L2(Rk). We show that under a natural normalization hypothesis, these convex potentials detect tight frames as their minimizers. We obtain a detailed spectral analysis of the frame operators of shift generated oblique duals of a fixed frame of translates. We use this result to obtain the spectral and geometrical structure of optimal shift generated oblique duals with norm restrictions, that simultaneously minimize every convex potential; we approach this problem by showing that the water-filling construction in probability spaces is optimal with respect to submajorization (within an appropriate set of functions) and by considering a non-commutative version of this construction for measurable fields of positive operators.
Sat, 01 Apr 2017 00:00:00 GMThttp://hdl.handle.net/11336/665872017-04-01T00:00:00Z