Results 21 to 30 of about 2,503,474 (234)
Matrix Representation for Seven-Dimensional Nilpotent Lie Algebras [PDF]
Journal of Physical Mathematics, 2016 This paper is concerned with finding linear representations for seven-dimensional real, indecomposable nilpotent Lie algebras. We consider the first 39 algebras presented in Gong’s classification which was based on the upper central series dimensions.
Ghanam, R. +3 more
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A Maximality Criterion for Nilpotent Commutative Matrix Algebras [PDF]
Canadian Mathematical Bulletin, 1974 Let A be a commutative algebra contained in Mn(F), F a field. Then A is nilpotent if there exists v such that Av=(0), and is said to have nilpotency class k (denoted Cl(A)=k) if Ak=(0), but Ak-1≠(0). A well known result asserts that matrix algebras are nilpotent if and only if every element is nilpotent.
Handelman, D., Selick, P.
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The smallest part of the generic partition of the nilpotent commutator of a nilpotent matrix [PDF]
Journal of Pure and Applied Algebra, 2013 Let $k$ be an infinite field. Fix a Jordan nilpotent $n$ by $n$ matrix $B = J_P$ with entries in $k$ and associated Jordan type $P$. Let $Q(P)$ be the Jordan type of a generic nilpotent matrix commuting with $B$.
Leila Khatami
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On Cauchy problem for Euler–Poisson–Darboux system with nilpotent matrix coefficient
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2012 The solution of Cauchy problem for the system of Euler–Poisson–Darboux equations with nilpotent matrix coefficient of power m is obtained by the Riemann method. The Hadamard well-posedness theorem for the Cauchy problem solution is formulated.
E. A. Maksimova
doaj +4 more sources
NILPOTENTS ZERO DIVISORS OF A MULTIDIMENSIONAL MATRIX
, 2022 In this article, the necessary conditions for nilpotency of matrices of three and higher dimensions are studied. In addition, its application to quadratic stochastic operators is presented.
Masharipov Sirojiddin
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The space of all p-th roots of a nilpotent complex matrix is path-connected
Linear Algebra and its Applications, 2018 Let p be a positive integer and A be a nilpotent complex matrix. We prove that the set of all p-th roots of A is path-connected.
Clément de Seguins Pazzis
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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.
D. Malinin
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On nilpotent subsemigroups in some matrix semigroups
, 2005 14 ...
Ganyushkin, Olexandr +1 more
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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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Computing in Nilpotent Matrix Groups [PDF]
LMS Journal of Computation and Mathematics, 2006 AbstractWe present algorithms for testing nilpotency of matrix groups over finite fields, and for deciding irreducibility and primitivity of nilpotent matrix groups. The algorithms also construct modules and imprimitivity systems for nilpotent groups.
A. Detinko, D. Flannery
semanticscholar +2 more sources