This page is a glossary of terms in
invariant theory
Invariant theory is a branch of abstract algebra dealing with actions of groups on algebraic varieties, such as vector spaces, from the point of view of their effect on functions. Classically, the theory dealt with the question of explicit descri ...
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For descriptions of particular invariant rings, see
invariants of a binary form In mathematical invariant theory, an invariant of a binary form is a polynomial in the coefficients of a binary form in two variables ''x'' and ''y'' that remains invariant under the special linear group acting on the variables ''x'' and ''y''.
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symmetric polynomials
In mathematics, a symmetric polynomial is a polynomial in variables, such that if any of the variables are interchanged, one obtains the same polynomial. Formally, is a ''symmetric polynomial'' if for any permutation of the subscripts one has ...
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For geometric terms used in invariant theory see the
glossary of classical algebraic geometry
The terminology of algebraic geometry changed drastically during the twentieth century, with the introduction of the general methods, initiated by David Hilbert and the Italian school of algebraic geometry in the beginning of the century, and later ...
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Definitions of many terms used in invariant theory can be found in , , , , , , , , and the index to the fourth volume of Sylvester's collected works includes many of the terms invented by him.
Conventions
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See also
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Glossary of classical algebraic geometry
The terminology of algebraic geometry changed drastically during the twentieth century, with the introduction of the general methods, initiated by David Hilbert and the Italian school of algebraic geometry in the beginning of the century, and later ...
References
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External links
*{{citation, first=Andries E. , last=Brouwer, url=http://www.win.tue.nl/~aeb/math/invar.html , title=Invariants of binary forms
Invariant theory
Invariant theory
Invariant theory is a branch of abstract algebra dealing with actions of groups on algebraic varieties, such as vector spaces, from the point of view of their effect on functions. Classically, the theory dealt with the question of explicit descri ...
History of mathematics
Wikipedia glossaries using description lists