Results 31 to 40 of about 2,503,474 (234)
Chimera state in coupled map lattice of matrices
Lietuvos Matematikos Rinkinys, 2021 In recent years, a lot of research has focused on understanding the behavior of when synchronous and asynchronous phases occur, that is, the existence of chimera states in various networks.
Kotryna Mačernytė, Rasa Šmidtaitė
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Zero-sum triangles for involutory, idempotent, nilpotent and unipotent matrices
Results in Applied Mathematics, 2022 In some matrix formations, factorizations and transformations, we need special matrices with some properties and we wish that such matrices should be easily and simply generated and of integers.
Pengwei Hao, Chao Zhang, Huahan Hao
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A Matrix Model for Random Nilpotent Groups [PDF]
International Mathematics Research Notices, 2017 We study random torsion-free nilpotent groups generated by a pair of random words of length $\ell$ in the standard generating set of $U_n(\mathbb{Z})$. Specifically, we give asymptotic results about the step properties of the group when the lengths of the generating words are functions of $n$.
Delp, Kelly +2 more
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The Enumeration of Jordan′s Normal Form of k-nilpotent Matrices
Journal of Harbin University of Science and Technology, 2019 As a kind of special matrices, the nilpotent matrices has good properties. In this paper, we mainly discuss the enumeration problem of the Jordan′s normal form of 4-nilpotent matrix.
CHEN Jian-da, WANG Ping, ZHANG Lu
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Finite W-algebras for glN [PDF]
, 2018 We study the quantum finite W -algebras W (glN, f ), associ-ted to the Lie algebra glN, and its arbitrary nilpotent element f . We construct for such an algebra an r1× r1 matrix L(z) of Yangian type, where r1 is the number of maximal parts of the ...
De Sole, Alberto +2 more
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Axioms, 2023 In this paper we consider examples of complex expansion (cKdV) and perturbation (pKdV) of the Korteweg–de Vries equation (KdV) and show that these equations have a representation in the form of the zero-curvature equation.
Tatyana V. Redkina +2 more
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On Cohomology Groups of Four-Dimensional Nilpotent Associative Algebras
مجلة بغداد للعلوم, 2022 The study of cohomology groups is one of the most intensive and exciting researches that arises from algebraic topology. Particularly, the dimension of cohomology groups is a highly useful invariant which plays a rigorous role in the geometric ...
N. F. Mohammed +2 more
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Singular matrices that are products of two idempotents or products of two nilpotents
Special Matrices, 2021 Over commutative domains we characterize the singular 2 × 2 matrices which are products of two idempotents or products of two nilpotents. The relevant casees are the matrices with zero second row and the singular matrices with only nonzero entries.
Călugăreanu Grigore
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Free products of cyclic groups in groups of infinite unitriangular matrices
Математичні Студії, 2023 Groups of infinite unitriangular matrices over associative unitary rings are considered. These groups naturally act on infinite dimensional free modules over underlying rings. They are profinite in case underlying rings are finite.
A. Oliynyk
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Novikov structures on solvable Lie algebras [PDF]
, 2005 We study Novikov algebras and Novikov structures on finite-dimensional Lie algebras. We show that a Lie algebra admitting a Novikov structure must be solvable.
Bakalov +14 more
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