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Examples of homogeneous manifolds with uniformly bounded metric projection
(Unión Matemática Argentina, 2012-11)
Let M be a finite von Neumann algebra with a faithful normal trace τ. Denote by Lp(M)sh the skew-Hermitian part of the non-commutative Lp space associated with (M, τ). Let 1 < p < ∞, z ∈ Lp(M)sh and S be a real closed ...
Symplectic quantum mechanics
(Elsevier, 2004)
Using the notion of symplectic structure and Weyl (or star) product of non-commutative
geometry, we construct unitary representations for the Galilei group and show how to rewrite the Schr€odinger equation in phase space. ...
On the relative projective space
(R. Rosebrugh, 2019-02)
Let (C, ⊗, 1) be an abelian symmetric monoidal category satisfying certain exactness conditions. In this paper we define a presheaf P n C on the category of commutative algebras in C and we prove that this functor is a ...
Strongly minimal reducts of algebraically closed valued fields
(Universidad de los AndesDoctorado en MatemáticasFacultad de CienciasDepartamento de Matemáticas, 2023-08-01)
In this thesis we prove the following restricted version of Zilber's Trichotomy:
Let $K=(K,+,\cdot,v,\Gamma)$ be an algebraically closed valued field and let $(G,\+)$ be a K$-definable group that is either the multiplicative ...
Variations for Some Painlevé Equations
(SIGMA, 2019)
This paper rst discusses irreducibility of a Painlev e equation P. We explain
how the Painlev e property is helpful for the computation of special classical and algebraic
solutions. As in a paper of Morales-Ruiz we ...
Some remarks about the fusible property of noncommutative polynomial extensions
(Bogotá - Ciencias - Maestría en Ciencias - MatemáticasDepartamento de MatemáticasUniversidad Nacional de Colombia - Sede Bogotá, 2020-05-31)
In this work, we focus on three objectives: first, we investigate fusible property on skew PBW extensions, recognizing conditions that guarantee the property for this family of algebras. Later, we turn our attention to the ...
O Teorema da Dimensão das fibras e pontos não fechados
(Universidade Federal de PernambucoUFPEBrasilPrograma de Pos Graduacao em Matematica, 2018)
Maximality of noncommutative rings over orders
(Departamento de MatemáticasUniversidad Nacional de Colombia - Sede Bogotá, 2019-07-31)
La teoría de órdenes ha sido ampliamente estudiada desde la última parte del siglo XX. En el contexto no conmutativo, la maximalidad de órdenes ha sido revisada para objetos clásicos de tipo polinomial como las extensiones ...
An introduction to Nichols Algebras
(Springer International Publishing, 2018)
Nichols algebras, Hopf algebras in braided categories with distinguishedproperties, were discovered several times. They appeared for the first time in the thesis of W. Nichols [72], aimed to construct new examples of Hopf ...