Results 61 to 70 of about 1,700,750 (206)
Nilpotent matrices and the minus partial order [PDF]
, 2017 [EN] In this paper, {1}-inverses of a nilpotent matrix as well as matrices above a given nilpotent matrix under the minus partial order are characterized.This paper was partially supported by Universidad Nacional de La Pampa, Facultad de Ingenieria ...
Thome, Néstor +8 more
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Crystal structure of localized quantum unipotent coordinate category
Proceedings of the London Mathematical Society, Volume 133, Issue 3, September 2026.Abstract A localized quantum unipotent coordinate category C∼w${\tilde{\mathcal{C}}}_{w}$ associated with a Weyl group element w$w$ is a rigid monoidal category that is obtained by applying the localization process to the category Cw${\mathcal{C}}_{w}$, a subcategory of the category R-gmod$R\text{-}\mathrm{gmod}$ of finite‐dimensional graded modules of
Masaki Kashiwara, Toshiki Nakashima
wiley +1 more source
Hierarchies of Arnold Tongues Generated by High-Dimensional Nilpotent Matrices
Fractal and FractionalArnold tongues are wedge-shaped regions in parameter space associated with mode locking and synchronization phenomena in nonlinear dynamical systems.
Rasa Smidtaite +2 more
doaj +1 more source
Nilpotents Leave No Trace: A Matrix Mystery for Pandemic Times
Journal of Humanistic Mathematics, 2022 Reopening a cold case, inspector Echelon, high-ranking in the Row Operations Center, is searching for a lost linear map, known to be nilpotent. When a partially decomposed matrix is unearthed, he reconstructs its reduced form, finding it singular. But were its roots nilpotent?
openaire +3 more sources
Finite abelian group actions on weakly Lefschetz cohomologically symplectic manifolds
Journal of Topology, Volume 19, Issue 3, September 2026.Abstract We study continuous finite abelian group actions on weakly Lefschetz cohomologically symplectic (WLS) manifolds, a collection of topological manifolds that includes all compact connected Kaehler manifolds. We prove that for any WLS manifold X$X$, there exists a number C$C$ such that, for any integer m⩾C$m\geqslant C$, if (Z/m)k$({\mathbb {Z ...
Ignasi Mundet i Riera
wiley +1 more source
Rings whose non-units are square-nil clean [PDF]
Arab Journal of Mathematical SciencesPurposeTo describe the structure of a special sort of rings whose non-invertible elements are the sum of a nilpotent and a square-idempotent (which commute one another).
Mina Doostalizadeh +2 more
doaj +1 more source
Operator mixing in massless QCD-like theories and Poincarè–Dulac theorem
European Physical Journal C: Particles and Fields, 2022 Recently, a differential-geometric approach to operator mixing in massless QCD-like theories – that involves canonical forms, obtained by means of gauge transformations, based on the Poincarè–Dulac theorem for the system of linear differential equations ...
Matteo Becchetti, Marco Bochicchio
doaj +1 more source
Invariant Measure and Universality of the 2D Yang–Mills Langevin Dynamic
Communications on Pure and Applied Mathematics, Volume 79, Issue 8, Page 1973-2102, August 2026.ABSTRACT We prove that the Yang–Mills (YM) measure for the trivial principal bundle over the two‐dimensional torus, with any connected, compact structure group, is invariant for the associated renormalised Langevin dynamic. Our argument relies on a combination of regularity structures, lattice gauge‐fixing and Bourgain's method for invariant measures ...
Ilya Chevyrev, Hao Shen
wiley +1 more source
The space of all p-th roots of a nilpotent complex matrix is path-connected
, 2020 International audienceLet p be a positive integer and A be a nilpotent complex matrix.
de Seguins Pazzis, Clément
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The Natural Components of a Regular Linear System
Oxford Bulletin of Economics and Statistics, Volume 88, Issue 4, Page 603-622, August 2026.ABSTRACT The analysis of a finite‐dimensional regular linear system may be simplified by separating the system into its natural components. The natural components are smaller linear systems on separate subspaces whose dimensions sum to the dimension of the original linear system.
Brendan K. Beare, Phil Howlett
wiley +1 more source