Results 41 to 50 of about 31,759 (192)
Nilpotent-independent sets and estimation in matrix algebras [PDF]
LMS Journal of Computation and Mathematics, 2015 Efficient methods for computing with matrices over finite fields often involverandomisedalgorithms, where matrices with a certain property are sought via repeated random selection. Complexity analyses for such algorithms require knowledge of the proportion of relevant matrices in the ambient group or algebra.
Corr, Brian P. +2 more
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Nonlinear Fermions and Coherent States
, 2012 Nonlinear fermions of degree $n$ ($n$-fermions) are introduced as particles with creation and annihilation operators obeying the simple nonlinear anticommutation relation $AA^\dagger + {A^\dagger}^n A^n = 1$.
Trifonov, D. A.
core +1 more source
On Finite Nilpotent Matrix Groups over Integral Domains [PDF]
ISRN Algebra, 2013 We consider finite nilpotent groups of matrices over commutative rings. A general result concerning the diagonalization of matrix groups in the terms of simple conditions for matrix entries is proven. We also give some arithmetic applications for representations over Dedekind rings.
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The Natural Components of a Regular Linear System
Oxford Bulletin of Economics and Statistics, EarlyView.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
Arnold tongues of divergence in the Caputo fractional standard map of nilpotent matrices
Nonlinear AnalysisArnold tongues of divergence in the Caputo fractional standard map of nilpotent matrices are explored in this paper. The scalar iterative variables in the Caputo fractional standard map are replaced by iterative matrix variables.
Ugnė Orinaitė +2 more
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Nilpotent orbits of a generalization of Hodge structures
, 2007 We study a generalization of Hodge structures which first appeared in the work of Cecotti and Vafa. It consists of twistors, that is, holomorphic vector bundles on P^1, with additional structure, a flat connection on C^*, a real subbundle and a pairing ...
Hertling, Claus, Sevenheck, Christian
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Subspaces fixed by a nilpotent matrix
Orbita MathematicaeThe linear spaces that are fixed by a given nilpotent $n \times n$ matrix form a subvariety of the Grassmannian. We classify these varieties for small $n$. Mutiah, Weekes and Yacobi conjectured that their radical ideals are generated by certain linear forms known as shuffle equations. We prove this conjecture for $n \leq 7$, and we disprove it for $n=8$
Hahn, Marvin Anas +3 more
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On nilpotent subsemigroups in some matrix semigroups
, 2005 14 ...
Ganyushkin, Olexandr +1 more
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Coulomb branch algebras via symplectic cohomology
Journal of Topology, Volume 19, Issue 2, June 2026.Abstract Let (M¯,ω)$(\bar{M}, \omega)$ be a compact symplectic manifold with convex boundary and c1(TM¯)=0$c_1(T\bar{M})=0$. Suppose that (M¯,ω)$(\bar{M}, \omega)$ is equipped with a convex Hamiltonian G$G$‐action for some connected, compact Lie group G$G$.
Eduardo González +2 more
wiley +1 more source
Songklanakarin Journal of Science and Technology (SJST), 2005 A matrix S is said to be an nth root of a matrix A if Sn = A, where n is a positive integer greater than or equal to 2. If there is no such matrix for any integer n > 2, A is called a rootless matrix. After investigating the properties of these matrices,
Chaufah Nilrat, Boonrod Yuttanan
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