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...

In mathematics, geometric invariant theory (or GIT) is a method for constructing quotients by group actions in algebraic geometry, used to construct moduli...

resistors, capacitors, inductors and linear amplifiers. Linear time-invariant system theory is also used in image processing, where the systems have spatial...

algebra, representation theory generalizes Fourier analysis via harmonic analysis, is connected to geometry via invariant theory and the Erlangen program...

In control theory, a time-invariant (TI) system has a time-dependent system function that is not a direct function of time. Such systems are regarded as...

In mathematics, a modular invariant of a group is an invariant of a finite group acting on a vector space of positive characteristic (usually dividing...

the power of the Dickson invariant. Over fields of characteristic 2, the determinant is always 1, so the Dickson invariant gives more information than...

associated with invariant theory, principally algebraic invariant theory. Invariant theory is concerned with expressions that remain constant (invariant) under...

used to calculate knot invariants and three-manifold invariants such as the Jones polynomial. Particularly, Chern–Simons theory is specified by a choice...

Invariant estimator in statistics Invariant measure Invariant (physics) Invariants of tensors Invariant theory Knot invariant Mathematical constant Mathematical...

scale. In quantum field theory, scale invariance has an interpretation in terms of particle physics. In a scale-invariant theory, the strength of particle...

In invariant theory, a branch of algebra, given a group G, a covariant is a G-equivariant polynomial map V → W {\displaystyle V\to W} between linear representations...

A conformal field theory (CFT) is a quantum field theory that is invariant under conformal transformations. In two dimensions, there is an infinite-dimensional...

This page is a glossary of terms in invariant theory. For descriptions of particular invariant rings, see invariants of a binary form, symmetric polynomials...

topological invariants. While TQFTs were invented by physicists, they are also of mathematical interest, being related to, among other things, knot theory and...

scalar field theory can refer to a relativistically invariant classical or quantum theory of scalar fields. A scalar field is invariant under any Lorentz...

the knot group and invariants from homology theory such as the Alexander polynomial. This would be the main approach to knot theory until a series of breakthroughs...

and second fundamental theorems of invariant theory concern the generators and relations of the ring of invariants in the ring of polynomial functions...

known for work in invariant theory and for the Clebsch–Gordan coefficients and Gordan's lemma. He was called "the king of invariant theory". His most famous...

Riemann invariants are mathematical transformations made on a system of conservation equations to make them more easily solvable. Riemann invariants are constant...

linear representation of Γ. "invariant polynomial in nLab". ncatlab.org. Draisma, Jan; Gijswijt, Dion. "Invariant Theory with Applications" (PDF). This...

In the mathematical field of knot theory, a knot invariant is a quantity (in a broad sense) defined for each knot which is the same for equivalent knots...

In algebraic geometry, an affine GIT quotient, or affine geometric invariant theory quotient, of an affine scheme X = Spec ⁡ A {\displaystyle X=\operatorname...

edition of his book Geometric Invariant Theory. Haboush's theorem can be used to generalize results of geometric invariant theory from characteristic 0, where...

Intersection theory — Invariant theory — Iwasawa theory — K-theory — KK-theory — Knot theory — L-theory — Lie theory — Littlewood–Paley theory — Matrix theory —...

In statistics, the concept of being an invariant estimator is a criterion that can be used to compare the properties of different estimators for the same...

textbook provided a comprehensive presentation of field theories in physics in terms of gauge invariant fiber bundles. Such formulations were known or suspected...

symmetric polynomials. Commutative ring theory originated in algebraic number theory, algebraic geometry, and invariant theory. Central to the development of these...

The invariant mass, rest mass, intrinsic mass, proper mass, or in the case of bound systems simply mass, is the portion of the total mass of an object...

periodicity of L-theory. The Arf invariant can also be defined more generally for certain 2k-dimensional manifolds. The Arf invariant is defined for a...