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...

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...

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...

Hilbert space; see self-adjoint operator Unitary equivalence of a unitary representation This disambiguation page lists mathematics articles associated with...

morphism Unitary operator Unitary transformation Unitary representation Unitarity (physics) E-unitary inverse semigroup Unitary authority Unitary state Unital...

finite-dimensional projective unitary representation of G {\displaystyle G} arises from an ordinary unitary representation of G ~ {\displaystyle {\tilde...

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...

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...

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...

{\displaystyle \{\rho (a):a\in A\}} . Every finite-dimensional unitary representation on a Hilbert space V {\displaystyle V} is the direct sum of irreducible...