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There is a page named "Unitary representation" on Wikipedia
- mathematics, a unitary representation of a group G is a linear representation π of G on a complex Hilbert space V such that π(g) is a unitary operator for...7 KB (980 words) - 13:33, 11 June 2024
- the grading and L[a]*=-(-1)LaL*[a*]) and H is the unitary rep and also, H is a unitary representation of A. These three reps are all compatible if for...3 KB (420 words) - 00:48, 29 March 2024
- Hilbert space; see self-adjoint operator Unitary equivalence of a unitary representation This disambiguation page lists mathematics articles associated with...195 bytes (55 words) - 09:19, 25 January 2016
A unitary representation of a group G is a linear representation φ of G on a real or (usually) complex Hilbert space V such that φ(g) is a unitary operator...55 KB (7,184 words) - 17:41, 8 July 2024- morphism Unitary operator Unitary transformation Unitary representation Unitarity (physics) E-unitary inverse semigroup Unitary authority Unitary state Unital...534 bytes (85 words) - 16:48, 8 January 2024
- finite-dimensional projective unitary representation of G {\displaystyle G} arises from an ordinary unitary representation of G ~ {\displaystyle {\tilde...25 KB (4,250 words) - 11:35, 23 May 2024
group of unitary operators. If G is a compact Lie group, every finite-dimensional representation is equivalent to a unitary one. Each representation of a...34 KB (5,242 words) - 12:15, 30 June 2024- Peter–Weyl theorem (category Unitary representation theory)the complete reducibility of unitary representations of G. The third part then asserts that the regular representation of G on L2(G) decomposes as the...16 KB (2,480 words) - 16:29, 15 March 2024
- can be defined in a similar way. If V is a unitary representation and the quaternionic structure j is a unitary operator, then V admits an invariant complex...5 KB (688 words) - 18:43, 9 February 2022
- {\displaystyle U(g)} is a projective unitary representation of G {\displaystyle G} , or possibly a mixture of unitary and anti-unitary, if G {\displaystyle G} is...19 KB (2,695 words) - 04:24, 12 February 2024
- is preserved. It is not, however, positive definite, so the representation is not unitary. Greiner, W.; Müller, B. (1994). Quantum Mechanics: Symmetries...5 KB (584 words) - 13:23, 26 May 2024
Rubik's Cube (section Unitary representation)it to another subgroup. The Rubik's group can be endowed with a unitary representation: such a description allows the Rubik's Cube to be mapped into a...93 KB (10,397 words) - 15:59, 14 August 2024- Stone–von Neumann theorem (redirect from Weyl representation)value of ħ), every strongly continuous unitary representation is unitarily equivalent to the standard representation with position and momentum. Let G be...27 KB (3,687 words) - 16:58, 25 May 2024
- common analytic construction of the induced representation. Let (π, V) be a continuous unitary representation of H into a Hilbert space V. We can then let:...13 KB (1,781 words) - 23:19, 14 March 2024
{\displaystyle \{\rho (a):a\in A\}} . Every finite-dimensional unitary representation on a Hilbert space V {\displaystyle V} is the direct sum of irreducible...21 KB (2,797 words) - 10:26, 28 June 2024
finite-dimensional non-unitary representation of the Lorentz group, while the creation operator transforms under the infinite-dimensional unitary representation of the...149 KB (19,750 words) - 15:33, 21 June 2024
reversal operator and a unitary operator that does not reverse time. For a particle with spin J, one can use the representation T = e − i π J y / ℏ K ...31 KB (4,234 words) - 03:54, 23 March 2024- in the unitary representation induced from σ. Branching rules for the classical groups were determined by Weyl (1946) between successive unitary groups;...22 KB (3,061 words) - 02:59, 24 March 2024
- all X in g For a finite-dimensional unitary representation, the dual representation and the conjugate representation coincide. This also holds for pseudounitary...2 KB (256 words) - 10:00, 26 January 2021
- L_{s}} is a unitary representation of G . {\displaystyle G.} It is called left-regular representation. The right-regular representation is defined similarly...105 KB (21,307 words) - 16:09, 19 May 2024
- the constitution of the following principles:- (i) Palestine should be a unitary State. (ii) It should have a democratic constitution, with an elected legislature
- static aspects of nature; and it is unitary, emphasizing one general form beneath all apparent dualism. (p. 21-22) A unitary method of thought is indispensable
- for his work in quatum mechanics} representation is defined from Schrödinger representation by the following unitary transformation: ϕ H = V ϕ S {\displaystyle