List of topics named after Hermann Weyl
Encyclopedia
This is a list of things named after Hermann Weyl
, the influential German mathematician.
Hermann Weyl
Hermann Klaus Hugo Weyl was a German mathematician and theoretical physicist. Although much of his working life was spent in Zürich, Switzerland and then Princeton, he is associated with the University of Göttingen tradition of mathematics, represented by David Hilbert and Hermann Minkowski.His...
, the influential German mathematician.
- Majorana–Weyl spinor
- Weyl algebra
- Weyl basis of the gamma matrices
- Weyl chamber
- Weyl character formulaWeyl character formulaIn mathematics, the Weyl character formula in representation theory describes the characters of irreducible representations of compact Lie groups in terms of their highest weights. It was proved by ....
- Weyl's criterionWeyl's criterionIn mathematics, in the theory of diophantine approximation, Weyl's criterion states that a sequence of real numbers is equidistributed mod 1 if and only if for all non-zero integers \ell we have:...
- Weyl curvature: see Weyl tensor
- Weyl curvature hypothesisWeyl curvature hypothesisThe Weyl curvature hypothesis, which arises in the application of Albert Einstein's general theory of relativity to physical cosmology, was introduced by the British mathematician and theoretical physicist Sir Roger Penrose in an article in 1979 in an attempt to provide explanations for two of the...
- Weyl dimension formula, a specialization of the character formula
- Weyl equationWeyl equation-Mathematical Formulation:-Derivation:The equations are obtained from the Lagrangian densitiesBy treating the spinor and its conjugate as independent variables, the relevant Weyl equation is obtained....
, a relativistic wave equation - Weyl field
- Weyl groupWeyl groupIn mathematics, in particular the theory of Lie algebras, the Weyl group of a root system Φ is a subgroup of the isometry group of the root system. Specifically, it is the subgroup which is generated by reflections through the hyperplanes orthogonal to the roots, and as such is a finite reflection...
- Weyl gauge
- Weyl's inequality
- Weyl's law
- Weyl's lemma on hypoellipticity
- Weyl's lemmaWeyl's lemma (Laplace equation)In mathematics, Weyl's lemma is a result that provides a "very weak" form of the Laplace equation. It is named after the German mathematician Hermann Weyl.-Statement of the lemma:...
on the "very weak" form of the Laplace equation - Weyl multipole moment
- Weyl notation
- Weyl ordering (Weyl transform)Weyl quantizationIn mathematics and physics, in the area of quantum mechanics, Weyl quantization is a method for systematically associating a "quantum mechanical" Hermitian operator with a "classical" kernel function in phase space invertibly...
- Weyl's paradox, properly the Grelling–Nelson paradox
- Weyl's postulateWeyl's postulateIn relativistic cosmology, Weyl's postulate stipulates that in a fluid cosmological model, the world lines of the fluid particles, which act as the source of the gravitational field and which are often taken to model galaxies, should be hypersurface orthogonal...
- Weyl quantizationWeyl quantizationIn mathematics and physics, in the area of quantum mechanics, Weyl quantization is a method for systematically associating a "quantum mechanical" Hermitian operator with a "classical" kernel function in phase space invertibly...
- Weyl scalar
- Weyl spinor
- Weyl sum, a type of exponential sumExponential sumIn mathematics, an exponential sum may be a finite Fourier series , or other finite sum formed using the exponential function, usually expressed by means of the functione = \exp.\,...
- Weyl symmetry: see Weyl transformation
- Weyl tensorWeyl tensorIn differential geometry, the Weyl curvature tensor, named after Hermann Weyl, is a measure of the curvature of spacetime or, more generally, a pseudo-Riemannian manifold. Like the Riemann curvature tensor, the Weyl tensor expresses the tidal force that a body feels when moving along a geodesic...
- Weyl's theoremWeyl's theoremIn 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 unitary trick
- Weyl vector of a compact Lie group
- Peter–Weyl theoremPeter–Weyl theoremIn 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 necessarily abelian. It was initially proved by Hermann Weyl, with his student Fritz Peter, in the setting of a compact topological group G...
- Weyl–Schouten theorem
- Weyl transformation