• 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...
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  • Thumbnail for Representation theory
    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
  • 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
  • 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
  • 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
  • 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
  • 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
  • Thumbnail for Representation of a Lie group
    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
  • Thumbnail for Particle physics and representation theory
    {\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
  • Thumbnail for Rubik's Cube
    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 (10,409 words) - 23:13, 12 September 2024