• 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...
    19 KB (2,582 words) - 16:12, 24 June 2025
  • In mathematics, geometric invariant theory (or GIT) is a method for constructing quotients by group actions in algebraic geometry, used to construct moduli...
    17 KB (2,272 words) - 14:08, 25 March 2025
  • Thumbnail for Linear time-invariant system
    resistors, capacitors, inductors and linear amplifiers. Linear time-invariant system theory is also used in image processing, where the systems have spatial...
    37 KB (5,902 words) - 18:02, 1 June 2025
  • 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...
    8 KB (1,355 words) - 11:33, 6 February 2023
  • Thumbnail for Emmy Noether
    associated with invariant theory, principally algebraic invariant theory. Invariant theory is concerned with expressions that remain constant (invariant) under...
    133 KB (15,220 words) - 19:22, 19 July 2025
  • Thumbnail for Mara Neusel
    Society: Invariant Theory and Finite Groups, Invariant Theory, and Inverse Invariant Theory and Steenrod Operations. The exposition in the text Invariant Theory...
    7 KB (642 words) - 05:50, 18 April 2024
  • 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...
    5 KB (507 words) - 22:38, 6 July 2025
  • Thumbnail for Invariant (mathematics)
    Invariant estimator in statistics Invariant measure Invariant (physics) Invariants of tensors Invariant theory Knot invariant Mathematical constant Mathematical...
    24 KB (2,787 words) - 13:39, 3 April 2025
  • This page is a glossary of terms in invariant theory. For descriptions of particular invariant rings, see invariants of a binary form, symmetric polynomials...
    39 KB (4,629 words) - 18:30, 3 March 2024
  • Thumbnail for Orthogonal group
    the power of the Dickson invariant. Over fields of characteristic 2, the determinant is always 1, so the Dickson invariant gives more information than...
    56 KB (7,882 words) - 17:12, 19 June 2025
  • used to calculate knot invariants and three-manifold invariants such as the Jones polynomial. Particularly, Chern–Simons theory is specified by a choice...
    27 KB (3,591 words) - 12:48, 25 May 2025
  • Thumbnail for Representation theory
    algebra, representation theory generalizes Fourier analysis via harmonic analysis, is connected to geometry via invariant theory and the Erlangen program...
    56 KB (7,331 words) - 15:09, 18 July 2025
  • topological invariants. While TQFTs were invented by physicists, they are also of mathematical interest, being related to, among other things, knot theory and...
    27 KB (3,764 words) - 15:49, 21 May 2025
  • A conformal field theory (CFT) is a quantum field theory that is invariant under conformal transformations. In two dimensions, there is an infinite-dimensional...
    42 KB (7,037 words) - 19:43, 19 July 2025
  • 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...
    1 KB (145 words) - 02:16, 13 May 2024
  • scale. In quantum field theory, scale invariance has an interpretation in terms of particle physics. In a scale-invariant theory, the strength of particle...
    32 KB (4,486 words) - 01:39, 2 June 2025
  • scalar field theory can refer to a relativistically invariant classical or quantum theory of scalar fields. A scalar field is invariant under any Lorentz...
    29 KB (4,845 words) - 22:21, 28 June 2025
  • linear representation of Γ. "invariant polynomial in nLab". ncatlab.org. Draisma, Jan; Gijswijt, Dion. "Invariant Theory with Applications" (PDF). This...
    1 KB (154 words) - 22:28, 12 August 2023
  • Thumbnail for Knot invariant
    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...
    10 KB (1,278 words) - 16:18, 12 January 2025
  • Thumbnail for Paul Gordan
    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...
    8 KB (683 words) - 20:07, 18 June 2025
  • Thumbnail for Knot theory
    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...
    50 KB (6,492 words) - 13:15, 14 July 2025
  • Thumbnail for Invariant mass
    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...
    13 KB (2,014 words) - 04:21, 10 May 2025
  • geometry Classical invariant theory the form of invariant theory that deals with describing polynomial functions that are invariant under transformations...
    71 KB (7,692 words) - 16:40, 4 July 2025
  • Intersection theoryInvariant theory — Iwasawa theory — K-theory — KK-theory — Knot theory — L-theory — Lie theory — Littlewood–Paley theory — Matrix theory —...
    38 KB (4,412 words) - 21:05, 10 July 2025
  • textbook provided a comprehensive presentation of field theories in physics in terms of gauge invariant fiber bundles. Such formulations were known or suspected...
    40 KB (6,708 words) - 07:24, 12 May 2025
  • mathematics, in the fields of multilinear algebra and representation theory, the principal invariants of the second rank tensor A {\displaystyle \mathbf {A} } are...
    10 KB (1,661 words) - 15:46, 16 January 2025
  • IIA string theory. They are named after Mikhail Gromov and Edward Witten. The rigorous mathematical definition of Gromov–Witten invariants is lengthy...
    12 KB (1,873 words) - 17:48, 7 April 2025
  • dynamics of such a model has not yet been studied. For scale-invariant dilatonic theories of gravity with standard model-type matter couplings, Charles...
    12 KB (1,524 words) - 18:52, 24 July 2022
  • and second fundamental theorems of invariant theory concern the generators and relations of the ring of invariants in the ring of polynomial functions...
    3 KB (382 words) - 01:52, 12 April 2025
  • general, these eliminants are also invariant under various changes of variables, and are also fundamental in invariant theory. All these concepts are effective...
    5 KB (660 words) - 05:45, 25 January 2024