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Glossary of invariant theory information


This page is a glossary of terms in invariant theory. For descriptions of particular invariant rings, see invariants of a binary form, symmetric polynomials. For geometric terms used in invariant theory see the glossary of classical algebraic geometry. Definitions of many terms used in invariant theory can be found in (Sylvester 1853), (Cayley 1860), (Burnside & Panton 1881), (Salmon 1885), (Elliott 1895), (Grace & Young 1903), (Glenn 1915), (Dolgachev 2012), and the index to the fourth volume of Sylvester's collected works includes many of the terms invented by him.

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Glossary of invariant theory

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glossary of tensor theory. For expositions of tensor theory from different points of view, see: Tensor Tensor (intrinsic definition) Application of tensor...

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Glossary of algebraic geometry

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a glossary of algebraic geometry. See also glossary of commutative algebra, glossary of classical algebraic geometry, and glossary of ring theory. For...

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Set theory

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each invariant. Many cardinal invariants have been studied, and the relationships between them are often complex and related to axioms of set theory. Set-theoretic...

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Special relativity

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treatment, the theory is presented as being based on just two postulates: The laws of physics are invariant (identical) in all inertial frames of reference...

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analysis, is connected to geometry via invariant theory and the Erlangen program, has an impact in number theory via automorphic forms and the Langlands...

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Ring theory

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definitions of terms used throughout ring theory may be found in Glossary of ring theory. A ring is called commutative if its multiplication is commutative...

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inclusive glossaries concerning related fields of science and technology, see Glossary of chemistry terms, Glossary of astronomy, Glossary of areas of mathematics...

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glossary of module theory. See also Glossary of Lie groups and Lie algebras, list of representation theory topics and Category:Representation theory....

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Glossary of symplectic geometry

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class) in intersection theory that appear in symplectic geometry as they do not naturally fit into other lists such as the glossary of algebraic geometry...

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Glossary of areas of mathematics

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differential invariants under volume-preserving affine transformations. Ahlfors theory A part of complex analysis being the geometric counterpart of Nevanlinna...

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Glossary of classical algebraic geometry

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Glossary of arithmetic and Diophantine geometry Glossary of commutative algebra Glossary of differential geometry and topology Glossary of invariant theory...

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sub-disciplines, and related fields. Related glossaries include Glossary of computer science, Glossary of robotics, and Glossary of machine vision. Contents:  A B C...

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George Salmon

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Glossary of invariant theory Quaternary cubic Ternary quartic Salmon points Biographical Index of Former Fellows of the Royal Society of Edinburgh 1783–2002...

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Dynamical systems theory

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influencing the behavior of dynamical systems. Ergodic theory is a branch of mathematics that studies dynamical systems with an invariant measure and related...

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Normal subgroup

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known as an invariant subgroup or self-conjugate subgroup) is a subgroup that is invariant under conjugation by members of the group of which it is a...

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Translational symmetry

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is the invariance of a system of equations under any translation (without rotation). Discrete translational symmetry is invariant under discrete translation...

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