EuDML | Browse

Let $G$ be the semidirect product $V ⋊ K$ where $K$ is a semisimple compact connected Lie group acting linearly on a finite-dimensional real vector space $V$ . Let $𝒪$ be a coadjoint orbit of $G$ associated by the Kirillov-Kostant method of orbits with a unitary irreducible representation $π$ of $G$ . We consider the case when the corresponding little group $H$ is the centralizer of a torus of $K$ . By dequantizing a suitable realization of $π$ on a Hilbert space of functions on $ℂ^{n}$ where $n = dim (K / H)$ , we construct a symplectomorphism between...

Displaying 1 – 8 of 8

Weak amenability of the universal covering group fo SU (1, n).

Weakly Almost Periodic Functions.

Weighted Plancherel formula. Irreducible unitary representations and eigenspace representations.

Weyl quantization for principal series.

Weyl quantization for the semidirect product of a compact Lie group and a vector space

Whittaker models, nilpotent orbits and the asymptotics of Harish-Chandra modules

Whittaker transforms on real-rank one Lie groups

Wiener functionals on spaces of Lie algebra valued 1-currents, and unitary representations of currents groups.

Currently displaying 1 – 8 of 8