Results 51 to 60 of about 525 (181)
Negativity‐preserving transforms of tuples of symmetric matrices
Abstract Compared to the entrywise transforms which preserve positive semidefiniteness, those leaving invariant the inertia of symmetric matrices reveal a surprising rigidity. We first obtain the classification of negativity preservers by combining recent advances in matrix analysis with some novel arguments relying on well‐chosen test matrices, Sidon ...
Alexander Belton +3 more
wiley +1 more source
Quantization of infinitesimal braidings and pre‐Cartier quasi‐bialgebras
Abstract In this paper, we extend Cartier's deformation theorem of braided monoidal categories admitting an infinitesimal braiding to the nonsymmetric case. The algebraic counterpart of these categories is the notion of a pre‐Cartier quasi‐bialgebra, which extends the well‐known notion of quasi‐triangular quasi‐bialgebra given by Drinfeld.
Chiara Esposito +3 more
wiley +1 more source
Topological solitons in the noncommutative plane and quantum Hall Skyrmions [PDF]
18 pages (to be published in PRD)
Ezawa, Z. F., Tsitsishvili, G.
openaire +2 more sources
On the topological ranks of Banach ∗$^*$‐algebras associated with groups of subexponential growth
Abstract Let G$G$ be a group of subexponential growth and C→qG$\mathcal C\overset{q}{\rightarrow }G$ a Fell bundle. We show that any Banach ∗$^*$‐algebra that sits between the associated ℓ1$\ell ^1$‐algebra ℓ1(G|C)$\ell ^1(G\,\vert \,\mathcal C)$ and its C∗$C^*$‐envelope has the same topological stable rank and real rank as ℓ1(G|C)$\ell ^1(G\,\vert ...
Felipe I. Flores
wiley +1 more source
Noncommutative AdS black hole and the IR holographic superconductor
We construct a noncommutative (NC) $$\hbox {AdS}_4$$ AdS 4 -charged black hole with a planar horizon topology. The NC effects of this geometry are captured by a Gaussian distribution of black hole mass codified in a fluid-like energy–momentum tensor.
Manuel de la Cruz-López +3 more
doaj +1 more source
Compact group actions on topological and noncommutative joins
We consider the Type 1 and Type 2 noncommutative Borsuk-Ulam conjectures of Baum, D$ą$browski, and Hajac: there are no equivariant morphisms $A \to A \circledast_δH$ or $H \to A \circledast_δH$, respectively, when $H$ is a nontrivial compact quantum group acting freely on a unital $C^*$-algebra $A$.
Chirvasitu, Alexandru, Passer, Benjamin
openaire +3 more sources
Plank theorems and their applications: A survey
Abstract Plank problems concern the covering of convex bodies by planks in Euclidean space and are related to famous open problems in convex geometry. In this survey, we introduce plank problems and present surprising applications of plank theorems in various areas of mathematics.
William Verreault
wiley +1 more source
Topological Aspects of Quadratic Graphs and M‐Polynomials Utilizing Classes of Finite Quasigroups
Material science, drug design and toxicology studies, which relate a molecule’s structure to its numerous properties and activities, are studied with the use of the topological index. Graphs with finite algebraic structure find extensive applications in fields such as mathematics, elliptic curve cryptography, physics, robotics and information theory ...
Mohammad Mazyad Hazzazi +5 more
wiley +1 more source
Geometria não-cumulativa do plano quântico [PDF]
Dissertação (mestrado) - Universidade Federal de Santa Catarina, Centro de Ciências Físicas e Matemáticas.Estudo sobre o plano quântico e sua geometria.
Wagner, Christian
core
A New Fixed‐Point Framework for Nonexpansive and Averaged Mappings in Normed GE‐Algebras
In this paper, we develop a systematic framework for studying fixed‐point theory in the setting of normed GE‐algebras. Building on the GE‐norm, we introduce and analyze nonexpansive mappings, α‐averaged mappings, and enriched contractions with respect to the quasimetric induced by the GE‐norm.
Prashant Patel +3 more
wiley +1 more source

