Results 61 to 70 of about 33,662 (238)
Noncommutative Projective Geometry
, 2001 This article describes recent applications of algebraic geometry to noncommutative algebra. These techniques have been particularly successful in describing graded algebras of small dimension.
openaire +2 more sources
Average‐Case Matrix Discrepancy: Satisfiability Bounds
Random Structures &Algorithms, Volume 67, Issue 3, October 2025.ABSTRACT Given a sequence of d×d$$ d\times d $$ symmetric matrices {Wi}i=1n$$ {\left\{{\mathbf{W}}_i\right\}}_{i=1}^n $$, and a margin Δ>0$$ \Delta >0 $$, we investigate whether it is possible to find signs (ε1,…,εn)∈{±1}n$$ \left({\varepsilon}_1,\dots, {\varepsilon}_n\right)\in {\left\{\pm 1\right\}}^n $$ such that the operator norm of the signed sum ...
Antoine Maillard
wiley +1 more source
Heat Trace Asymptotics on Noncommutative Spaces [PDF]
, 2007 This is a mini-review of the heat kernel expansion for generalized Laplacians on various noncommutative spaces. Applications to the spectral action principle, renormalization of noncommutative theories and anomalies are also considered.Comment: This is a
Vassilevich, Dmitri V.
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Field Theory on Curved Noncommutative Spacetimes
Symmetry, Integrability and Geometry: Methods and Applications, 2010 We study classical scalar field theories on noncommutative curved spacetimes. Following the approach of Wess et al. [Classical Quantum Gravity 22 (2005), 3511 and Classical Quantum Gravity 23 (2006), 1883], we describe noncommutative spacetimes by using (
Alexander Schenkel +1 more
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Matrix model and Yukawa couplings on the noncommutative torus
Journal of High Energy Physics, 2019 The IKKT model is proposed as a non-perturbative formulation of superstring theory. We propose a Dirac operator on the noncommutative torus, which is consistent with the IKKT model, based on noncommutative geometry.
Masaki Honda
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Nuclear Physics B, 2022 The accretion around the black hole plays a pivotal role in the theoretical analysis of black hole shadow, and of the black hole observation in particular.
Xiao-Xiong Zeng, Guo-Ping Li, Ke-Jian He
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Astronomische Nachrichten, Volume 346, Issue 7-8, September 2025.ABSTRACT We investigate the effects of a minimal measurable length on neutron stars, within the quantum hadrodynamics (QHD‐I) model modified by the Generalized Uncertainty Principle (GUP). Working in a deformed Poisson algebra framework, we incorporate GUP effects via a time‐invariant transformation of the phase space volume, effectively reducing the ...
João Gabriel Galli Gimenez +2 more
wiley +1 more source
Noncommutative Geometry and Arithmetic [PDF]
, 2010 This is an overview of recent results aimed at developing a geometry of noncommutative tori with real multiplication, with the purpose of providing a parallel, for real quadratic fields, of the classical theory of elliptic curves with complex ...
Marcolli, Matilde
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Noncommutative Geometry: Calculation of the Standard Model Lagrangian [PDF]
, 2001 The calculation of the standard model Lagrangian of classical field theory within the framework of noncommutative geometry is sketched using a variant with 18 parameters.
Elsner, Karen
core +3 more sources
Some special types of determinants in graded skew P BW extensions.
Revista Integración, 2021 In this paper, we prove that the Nakayama automorphism of a graded skew PBW extension over a finitely presented Koszul Auslanderregular algebra has trivial homological determinant.
Héctor Suárez +2 more
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