On the apolar algebra of a product of linear forms [PDF]
Apolarity is a important tool in commutative algebra and algebraic geometry which studies a form, f, by the action of polynomial differential operators on f. The quotient of all polynomial differential operators by those which annihilate f is called the apolar algebra of f.
Michael DiPasquale +2 more
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Reconstruction of Forms by Linear Algebra [PDF]
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Marchetti, Elena, Costa, Luisa Rossi
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Corrigendum to "Determinants of Normalized Bohemian Upper Hessenberg Matrices" [Electron. J. of Linear Algebra 36 (2020) 352–366] [PDF]
An amended version of Proposition 3.6 of [Fasi and Negri Porzio, Electron. J. Linear Algebra 36:352--366, 2020] is presented. The result shows that the set of possible determinants of upper Hessenberg matrices with ones on the subdiagonal and elements in
Feng, Jishe +8 more
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Canonical Forms for Families of Anti-commuting Diagonalizable Linear Operators [PDF]
It is well known that a commuting family of diagonalizable linear operators on a finite dimensional vector space is simultaneously diagonalizable. In this paper, we consider a family A={Aa}, Aa:V→V, a=1,…,N of anti-commuting (complex) linear operators on
Ayşe Hümeyra Bilge +4 more
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Differential forms and Lie algebra cohomology for algebraic linear groups [PDF]
In the study of the rational cohomology theory of algebraic linear groups, the differential forms, constructed from the algebra of the rational representative functions on the group, play a major role in providing the link between the group cohomology and the Lie algebra cohomology [5].
Hochschild, G., Kostant, B.
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Linear Algebra and Smarandache Linear Algebra [PDF]
The present book, on Smarandache linear algebra, not only studies the Smarandache analogues of linear algebra and its applications, it also aims to bridge the need for new research topics pertaining to linear algebra, purely in the algebraic sense.
Vasantha, Kandasamy
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A remark on normal forms of matrices [PDF]
Dlab V, Ringel CM. A remark on normal forms of matrices. Linear algebra and its applications.
Dlab, Vlastimil, Ringel, Claus Michael
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Realization of multivariable nonlinear systems via the approaches of differential forms and differential algebra [PDF]
summary:In this paper differential forms and differential algebra are applied to give a new definition of realization for multivariable nonlinear systems consistent with the linear realization theory.
Moog, Claude H. +5 more
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Commutative algebraic groups and p-adic linear forms [PDF]
Let $G$ be a commutative algebraic group defined over a number field $K$ that is disjoint over $K$ to $\mathbb G_a$ and satisfies the condition of semistability. Consider a linear form $l$ on the Lie algebra of $G$ with algebraic coefficients and an algebraic point $u$ in a $p$-adic neighbourhood of the origin with the condition that $l$ does not ...
Fuchs, Clemens, Pham, Duc Hiep
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Normal forms of real matrices with respect to complex similarity [PDF]
Dlab V, Ringel CM. Normal forms of real matrices with respect to complex similarity. Linear algebra and its applications. 1977;17(2):107-124.This paper gives a complete classification of real linear transformations between two complex vector spaces in ...
Dlab, Vlastimil, Ringel, Claus Michael
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