Now showing items 1-10 of 28
The structure of smooth algebras in Kapranov's framework for noncommutative geometry
(Academic Press Inc Elsevier Science, 2004-11)
In Kapranov, M. Noncommutative geometry based on commutator expansions, J. reine angew. Math 505 (1998) 73-118, a theory of noncommutative algebraic varieties was proposed. Here we prove a structure theorem for the ...
States in generalized probabilistic models: An approach based in algebraic geometry
(De Gruyter, 2019-06)
We present a characterization of states in generalized probabilistic models by appealing to a non-commutative version of geometric probability theory based on algebraic geometry techniques. Our theoretical framework allows ...
Algebraic quantum field theory and noncommutative moment problems I
(Pontificia Universidad Católica del PerúPE, 2017)
A Survey on Some Algebraic Characterizations of Hilbert’s Nullstellensatz for Non-commutative Rings of Polynomial TypeUn estudio sobre algunas caracterizaciones algebraicas del teorema de ceros de Hilbert para anillos no conmutativos de tipo polinomial
(Universidad EAFIT, 2020-06-19)
In this paper we present a survey of some algebraic characterizations of Hilbert’s Nullstellensatz for non-commutative rings of polynomial type. Using several results established in the literature, we obtain a version of ...
On solvability of noncommutative power-associative nilalgebrasJOURNAL OF ALGEBRAJ ALGEBRA
(ACADEMIC PRESS, 2017)
Connes' metric for states in group algebras
(Unión Matemática Argentina, 2003-12)
We follow the main idea of A. Connes for the construction of a metric in the state space of a C*-algebra. We focus in the reduced algebra of a discrete group Г, and prove some equivalences and relations between two central ...
Twisted Semigroup Algebras
We study 2-cocycle twists, or equivalently Zhang twists, of semigroup algebras over a field k. If the underlying semigroup is affine, that is abelian, cancellative and finitely generated, then Spec k[S] is an affine toric ...
Noncommutativity in (2+1)-dimensions and the Lorentz group
(American Physical Society, 2012-11)
In this article we considered models of particles living in a three-dimensional space-time with a nonstandard noncommutativity induced by shifting canonical coordinates and momenta with generators of a unitary irreducible ...
Quantum toric degeneration of quantum flag and Schubert varieties
We show that certain homological regularity properties of graded connected algebras, such as being AS-Gorenstein or AS-Cohen–Macaulay, can be tested by passing to associated graded rings. In the spirit of noncommutative ...
Evolution of quantum observables: from non-commutativity to commutativity
A fundamental aspect of the quantum-to-classical limit is the transition from a non-commutative algebra of observables to commutative one. However, this transition is not possible if we only consider unitary evolutions. ...