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On Morita equivalence for simple Generalized Weyl algebras
(Springer, 2010-10)
We give a necessary condition for Morita equivalence of simple Generalized Weyl algebras of classical type. We propose a reformulation of Hodges’ result, which describes Morita equivalences in case the polynomial defining ...
Probing the regular nature of the spacetime by direct measurement of black hole properties
(2015-09-02)
In the following years Very Long Baseline Interferometry (VLBI) facilities will be able to directly image the accretion flow around the supermassive black hole candidate at the center of the Milky Way, Sgr A*. They will ...
N-Koszul algebras, Calabi-Yau algebras and skew PBW extensions
(2017-11-01)
Abstract. In the schematic approach to non-commutative algebraic geometry arises some important classes of non-commutative algebras like Koszul algebras, Artin-Schelter regular algebras, Calabi-Yau algebras, and closely ...
Algunas propiedades homológicas del plano de Jordan
(Universidad Pedagógica y Tecnológica de Colombia, 2018-07-04)
The Jordan plane can be seen as a quotient algebra, as a graded Ore extension and as a graded skew PBW extension. Using these interpretations, it is proved that the Jordan plane is an Artin-Schelter regular algebra and a ...
Nonassociative geometry: Friedmann-Robertson-Walker spacetime
(2008)
This paper we study the effects of a noncommutativity minisuperspace on a FRW universe with cosmological constant. A relationship between the non commutative parameter and A is obtained. " 2008 American Institute of ...
BUZANO’S INEQUALITY IN ALGEBRAIC PROBABILITY SPACES
(Croacia, 2019)
We obtain a generalization of Buzano’s inequality of vectors in Hilbert spaces , using
the theory of algebraic probability spaces. In particular, we extend a result of Dragomir given
in [7]. Applications for numerical ...
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. ...
Algebras de operadores Toeplitz
(Universidad Nacional Mayor de San MarcosPE, 2015)
En este trabajo examinamos los C*-algebras de operadores Toeplitz sobre la bola unitaria en Cn y en el polidisco unitario en C². Los operadores Toeplitz son ejemplos interesantes de operadores que no son operadores normales ...
Faà di Bruno Hopf algebras
(2022-11)
This is a short review on the Faà di Bruno formulas, implementing composition of real-analytic functions, and a Hopf algebra associated to such formulas. This structure allows, among several other things, a short proof of ...