Results 81 to 90 of about 1,700,750 (206)
A Characterization of Affine Primal Topological Spaces Induced by Nilpotent Matrices
International Journal of Mathematics and Mathematical SciencesIn this article, we prove that an n×n matrix A is nilpotent if and only if there exists an affine primal topology τ for Rn such that the space Rn,τ is both compact and connected.
Ebner Pineda, Luis Mejías, Jorge Vielma
doaj +1 more source
$L^p$ Matrix Coefficients for Nilpotent Lie Groups
Rocky Mountain Journal of Mathematics, 1996 Suppose that \(G\) is a connected nilpotent Lie group. For any irreducible unitary representation \(\pi\) of \(G\), denote by \(N_\pi\) its kernel. The main theorem of the paper under review is that there exists \(p\) in \([2,\infty)\), depending only on \(G\), such that the matrix coefficients \(g\mapsto\langle\pi(g)\xi,\eta\rangle\) lie in \(L^p(G/N_\
Corwin, Lawrence, Moore, Calvin C.
openaire +3 more sources
On simultaneously nilpotent fuzzy matrices
, 2003 Nilpotent fuzzy matrices play a crucial role in the study of fuzzy matrices. In this paper, we shall extend the nilpotence to the notion of simultaneous nilpotence for a finite set of fuzzy matrices.
Pang, Chin-Tzong +2 more
core +1 more source
T-branes at the limits of geometry
Journal of High Energy Physics, 2017 Singular limits of 6D F-theory compactifications are often captured by T-branes, namely a non-abelian configuration of intersecting 7-branes with a nilpotent matrix of normal deformations.
Lara B. Anderson +3 more
doaj +1 more source
On nilpotent subsemigroups of the matrix semigroup over an antiring
Linear Algebra and its Applications, 2011 A semiring is an algebraic system \((R,+,\cdot)\) such that \((R,+)\) is a commutative semigroup with identity \(0\), \((R,\cdot)\) is a semigroup with identity \(1\), and ring-like distributivity holds. It is also assumed that \(0r=r0=0\) for all \(r\in R\) and that \(0\neq 1\).
openaire +2 more sources
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.
openaire +1 more source
, 2004 In 1986, Kasymov introduced the concept of nilpotent $n$-Lie algebras, proved an analogue of Engel's Theorem and later proved an analog of Jacobson's refinement of Engel's Theorem. Despite these achievements, the subject of nilpotency in $n$-Lie algebras
Williams, Michael Peretzian
core
When is the numerical range of a nilpotent matrix circular? [PDF]
, 2010 The problem formulated in the title is investigated. The case of nilpotent matrices of size at most 4 allows a unitary treatment. The numerical range of a nilpotent matrix M of size at most 4 is circular if and only if the traces tr M∗M2 and tr M∗M3 are ...
Matache, Valentin +1 more
core
Reduction of Neutrosophic Fuzzy Matrices Using Implication Operator [PDF]
Neutrosophic Sets and SystemsThis research explores the reduction of Neutrosophic Fuzzy Matrices (NFMs) and highlights their significant properties, focusing particularly on nilpotent NFMs.
K. Karuppiah +5 more
doaj +1 more source
Finite Matrix Groups over Nilpotent Group Rings
Journal of Algebra, 1996 Let \(\mathbb{Z} H\) be the integral group ring of a group \(H\). The authors study the group \(\text{SGL}_n(\mathbb{Z} H)\) of matrices of augmentation one over the group ring \(\mathbb{Z} H\), and relate the torsion of \(\text{SGL}_n(\mathbb{Z} H)\) to the torsion of \(H\).
Marciniak, Zbigniew S. +1 more
openaire +2 more sources