Sentence examples for unitary representation of from inspiring English sources

Let π be a unitary representation of a Lie group G.

In fact, every irreducible unitary representation of (mathbb {R}^{n}) reads ((mathbb {C}, T_{p})) where p is a vector.

Moreover, any irreducible unitary representation of (M n)) which is infinite dimensional is unitarily equivalent to one and only one (pi _{lambda,sigma}).

end{aligned} It can be shown that (pi_{lambda,sigma}) restricted to (H K,sigma)) is an irreducible unitary representation of (M n)).

This implementation is based, in part, on a finite difference approximation △FDA⊥ of 1r∂∂rr∂∂r that possesses an associated exact unitary representation of ei2λ△FDA⊥.

Let G be an exponential solvable group, O an orbit of the coadjoint representation and T the corresponding irreducible unitary representation of G.

Explicit unitary representations of symmetry groups for several quantum simulation models are presented in Appendix 8.

In this paper, we study the finite dimensional unitary representations of the quantum group SUq(2).

We study a family of small unitary representations of indefinite orthogonal groups.

We prove that this duality principle extends to any dual pairs of projective unitary representations of countable groups.

Given quasifree states of an infinite dimensional CCR algebra, projective unitary representations of the infinite dimensional symplectic group are constructed via unitary implementors of Bogoliubov automorphisms.