Results 21 to 30 of about 31,759 (192)
The Enumeration of Jordan′s Normal Form of k-nilpotent Matrices
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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On Cauchy problem for Euler–Poisson–Darboux system with nilpotent matrix coefficient
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
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Finite W-algebras for glN [PDF]
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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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
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
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
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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Drużkowski matrix search and D-nilpotent automorphisms
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
GORNI, Gianluca +2 more
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Quiver theories and formulae for Slodowy slices of classical algebras
We utilise SUSY quiver gauge theories to compute properties of Slodowy slices; these are spaces transverse to the nilpotent orbits of a Lie algebra g.
Santiago Cabrera +2 more
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The Unipotency of Linear Groups Generated by Matrices with No More than Five Jorden Blocks
Aiming at the question whether the group generated by two unipotent matrices whose Jordan blocks are of order no more than five is a unipotent group, based on the fundamental definition of nilpotent matrix, we use the matrix logarithm tool to obtain some
YANG Xin-song, LI Jia-xin
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