Results 161 to 170 of about 1,700,750 (206)

Howe Duality and Dynamical Weyl Group. [PDF]

open access: yesTransform Groups
Dalipi R, Felder G, Gurenkova A.
europepmc   +1 more source

A game theoretic treatment of contagion in trade networks. [PDF]

open access: yesPLoS Comput Biol
McAlister JS   +3 more
europepmc   +1 more source

On the Nilpotent Commutator of a Nilpotent Matrix [PDF]

open access: yesLinear and Multilinear Algebra, 2012
We study the structure of the nilpotent commutator $\nb$ of a nilpotent matrix $B$. We show that $\nb$ intersects all nilpotent orbits for conjugation if and only if $B$ is a square--zero matrix. We describe nonempty intersections of $\nb$ with nilpotent orbits in the case the $n \times n$ matrix $B$ has rank $n-2$.
Polona Oblak
exaly   +3 more sources

The Upper Bound for the Index of Nilpotency for a Matrix Commuting With a Given Nilpotent Matrix

open access: yesLinear and Multilinear Algebra, 2008
We study the set $\partition{\nb}$ of all possible Jordan canonical forms of nilpotent matrices commuting with a given nilpotent matrix $B$. We describe $\partition{\nb}$ in the special case when $B$ has only one Jordan block. In the general case, we find the maximal possible index of nilpotency in the set of all nilpotent matrices commuting with a ...
Polona Oblak
exaly   +3 more sources

Commuting Solutions of a Quadratic Matrix Equation for Nilpotent Matrices

open access: yesAlgebra Colloquium, 2018
We solve the quadratic matrix equation AXA = XAX with a given nilpotent matrix A, to find all commuting solutions. We first provide a key lemma, and consider the special case that A has only one Jordan block to motivate the idea for the general case ...
Qianglian Huang, Jiu Ding, Qixiang Dong
exaly   +2 more sources

Counting Symmetric Nilpotent Matrices [PDF]

open access: yesElectronic Journal of Combinatorics, 2014
We determine the number of nilpotent matrices of order n over Fq that are self-adjoint for a given nondegenerate symmetric bilinear form, and in particular find the number of symmetric nilpotent matrices.
John Sheekey, Rod Gow, Andries E Brouwer
exaly   +2 more sources
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On T-nilpotence of a matrix set

Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2023
Let R be a ring and I be an arbitrary right T-nilpotent subset of R. In the paper it is proved that in this case the set of all n×n-matrices with entries in I is a right T-nilpotent subset of the ring of n×n-matrices with entries in R, where n 2 N.
openaire   +1 more source

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