algebraic invariant

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algebraic invariant

[¦al·jə¦brā·ik in′ver·ē·ənt]
(mathematics)
A polynomial in coefficients of a quadratic or higher form in a collection of variables whose value is unchanged by a specified class of linear transformations of the variables.
References in periodicals archive ?
Concini and Procesi provide a unified, complete, and self-contained exposition of the main algebraic theorem of invariant theory for matrices in a characteristic free approach.
Boutin, "Structure from motion: a new look from the point of view of invariant theory," SIAM Journal on Applied Mathematics, vol.
They cover Lie superalgebra ABC,finite-dimensional modules, Schur duality, classical invariant theory, Howe duality, and super duality.
By means of classical algebraic invariant theory [4], Hu derived seven functions of normalized central moments that are invariant with respect to translation, scale, and rotation.
Let us explain how the generation engine from Section 2 is plugged into effective invariant theory (see [Derksen and Kemper(2002)] and [King(2007)]).
This time it was decided to expand the scope by including some further topics related to interpolation, such as inequalities, invariant theory, symmetric spaces, operator algebras, multilinear algebra and division algebras, operator monotonicity and convexity, functional spaces and applications and connections of these topics to nonlinear partial differential equations, geometry, mathematical physics, and economics.
On account of this, a Lorentz and gauge invariant theory has been elaborated, the details of which are given elsewhere [3-8].
But before I can give you the recipe I have to be slightly more precise about what I take to be a Lorentz invariant theory.
This text introduces geometric invariant theory, from the basic theory of affine algebraic groups to the more sophisticated geometric invariant theory in terms of Mumford's Geometric Invariant Theory.
In the mid-1990s I got interested in invariant theory via my previous preoccupation with multilinear, especially trilinear forms, in cooperation with Fernando Cobos (Madrid) and Thomas Kuhn (Leipzig).
The main target of this work is to show that the several aspects of the invariant theory of a projective reflection group G is strongly related to and easily described by the combinatorics of [G.
This book is an introduction to the fundamentals of differential geometry that covers manifolds, flows, Lie groups and their actions, invariant theory, differential forms and de Rham cohomology, bundles and connections, Riemann manifolds, isometric actions, and symplectic and Poisson geometry.