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Two Matrix Theorems Arising from Nilpotent Groups

Algebra Colloquium
For a nilpotent group [Formula: see text] without [Formula: see text]-torsion, and [Formula: see text], [Formula: see text], if [Formula: see text] for a [Formula: see text]-number [Formula: see text], then [Formula: see text]; if [Formula: see text] for [Formula: see text]-numbers [Formula: see text], [Formula: see text], then [Formula: see text ...
Jing Zhao, Heguo Liu
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Fillmore's theorem and sums of nilpotent quaternion matrices

The Electronic Journal of Linear Algebra
Fillmore's Theorem states that an $n\times n$ nonscalar matrix $A$ over a field is similar to a matrix whose diagonal entries are $\lambda_1,\ldots,\lambda_n$ provided that $\sum_{i=1}^n\lambda_i = \mathrm{Tr} A.$ It is shown that an analog of Fillmore's
Ralph John L. de la Cruz   +2 more
semanticscholar   +1 more source

IRREDUCIBLE COMPONENTS OF A REDUCIBLE MAXIMAL LOCALLY NILPOTENT MATRIX GROUP

Mathematics of the USSR-Izvestiya, 1968
Conditions are established under which a given irreducible group of matrices over a perfect field ? is an irreducible component of some reducible maximal locally nilpotent group of matrices over ?.
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On the graph of nilpotent matrix group of length one

Discret. Math. Algorithms Appl., 2016
C. Gupta, B. S. Shetty, V. Lokesha
semanticscholar   +1 more source

The biofilm matrix: multitasking in a shared space

Nature Reviews Microbiology, 2022
Hans-Curt Flemming   +2 more
exaly  

Enumeration of ideals of exceptional nilpotent matrix algebras

2015
Текст статьи не публикуется в открытом доступе в соответствии с политикой журнала.
Krivokolesko, V. P., Levchuk, V. M.
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Solving the Yang–Baxter-like matrix equation for nilpotent matrices of index three

International Journal of Computational Mathematics, 2018
Duanmei Zhou, Jiu Ding
semanticscholar   +1 more source

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