• Thumbnail for Hermann Weyl
    equation Weyl expansion Weyl fermion Weyl gauge Weyl gravity Weyl notation Weyl quantization Weyl spinor Weyl sum, a type of exponential sum Weyl symmetry:...
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  • mathematics, Weyl's theorem or Weyl's lemma might refer to one of a number of results of Hermann Weyl. These include the Peter–Weyl theorem Weyl's theorem...
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  • Thumbnail for Spinor
    Spinor (redirect from Majorana-Weyl spinor)
    dimension is odd, or it will decompose into a pair of so-called "half-spin" or Weyl representations if the dimension is even. What characterizes spinors and...
    72 KB (9,924 words) - 07:46, 15 October 2024
  • Thumbnail for Weyl equation
    quantum field theory, the Weyl equation is a relativistic wave equation for describing massless spin-1/2 particles called Weyl fermions. The equation is...
    28 KB (4,772 words) - 20:55, 20 June 2024
  • Thumbnail for Weyl group
    mathematics, in particular the theory of Lie algebras, the Weyl group (named after Hermann Weyl) of a root system Φ is a subgroup of the isometry group of...
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  • In differential geometry, a Weyl connection (also called a Weyl structure) is a generalization of the Levi-Civita connection that makes sense on a conformal...
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  • Weyl semimetals are semimetals or metals whose quasiparticle excitation is the Weyl fermion, a particle that played a crucial role in quantum field theory...
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  • In differential geometry, the Weyl curvature tensor, named after Hermann Weyl, is a measure of the curvature of spacetime or, more generally, a pseudo-Riemannian...
    10 KB (1,742 words) - 17:55, 29 January 2024
  • In relativistic cosmology, Weyl's postulate stipulates that in the Friedmann model of the universe (a fluid cosmological model), the wordlines of fluid...
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  • In quantum mechanics, the Wigner–Weyl transform or Weyl–Wigner transform (after Hermann Weyl and Eugene Wigner) is the invertible mapping between functions...
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  • Wigner–Weyl transform, for another definition of the Weyl transform. In theoretical physics, the Weyl transformation, named after Hermann Weyl, is a local...
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  • Thumbnail for Glen Weyl
    Eric Glen Weyl (born May 6, 1985) is an American economist at Microsoft Research, and a co-author (with Eric Posner) of the book Radical Markets: Uprooting...
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  • Woldemar Anatol Weyl (1901 – July 30, 1975) was a German-born scientist. Weyl taught at the Kaiser Wilhelm Institute between 1932 and 1936, when he began...
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  • In mathematics, especially spectral theory, Weyl's law describes the asymptotic behavior of eigenvalues of the Laplace–Beltrami operator. This description...
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  • In mathematics, the Weyl integral (named after Hermann Weyl) is an operator defined, as an example of fractional calculus, on functions f on the unit...
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  • An Einstein–Weyl geometry is a smooth conformal manifold, together with a compatible Weyl connection that satisfies an appropriate version of the Einstein...
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  • In mathematics, the Peter–Weyl theorem is a basic result in the theory of harmonic analysis, applying to topological groups that are compact, but are not...
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  • Schur–Weyl duality is a mathematical theorem in representation theory that relates irreducible finite-dimensional representations of the general linear...
    9 KB (1,549 words) - 21:10, 30 September 2024
  • In mathematics, a Weyl sequence is a sequence from the equidistribution theorem proven by Hermann Weyl: The sequence of all multiples of an irrational...
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  • In linear algebra, Weyl's inequality is a theorem about the changes to eigenvalues of an Hermitian matrix that is perturbed. It can be used to estimate...
    6 KB (1,019 words) - 00:25, 24 October 2024
  • In general relativity, the Weyl metrics (named after the German-American mathematician Hermann Weyl) are a class of static and axisymmetric solutions to...
    21 KB (2,108 words) - 14:46, 4 October 2024
  • Thumbnail for Hearing the shape of a drum
    flow through any point, and is compact in the Fréchet–Schwartz topology. Weyl's formula states that one can infer the area A of the drum by counting how...
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  • In mathematics, the Weyl character formula in representation theory describes the characters of irreducible representations of compact Lie groups in terms...
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  • attributed to the German philosopher and mathematician Hermann Weyl thus occasionally called Weyl's paradox or Grelling's paradox. It is closely related to several...
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  • introduced by Adolf Hurwitz (1897) for the special linear group and by Hermann Weyl for general semisimple groups. It applies to show that the representation...
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  • MathWorld. Weisstein, Eric W. "Weyl's Criterion". MathWorld. Weyl's Criterion at PlanetMath. Lecture notes by Charles Walkden with proof of Weyl's Criterion...
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  • Coxeter groups include the symmetry groups of regular polytopes, and the Weyl groups of simple Lie algebras. Examples of infinite Coxeter groups include...
    35 KB (3,758 words) - 10:19, 16 October 2024
  • algebra, the Weyl algebras are abstracted from the ring of differential operators with polynomial coefficients. They are named after Hermann Weyl, who introduced...
    28 KB (4,161 words) - 01:09, 29 September 2024
  • In philosophy, Weyl's tile argument, introduced by Hermann Weyl in 1949, is an argument against the notion that physical space is "discrete", as if composed...
    5 KB (549 words) - 18:45, 3 December 2023
  • algebra, a Weyl module is a representation of a reductive algebraic group, introduced by Carter and Lusztig (1974, 1974b) and named after Hermann Weyl. In characteristic 0...
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