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...

When unit groups of continuous inverse algebras are regular Lie groups

Helge Glöckner, Karl-Hermann Neeb (2012)

Studia Mathematica

It is a basic fact in infinite-dimensional Lie theory that the unit group $A^{\times}$ of a continuous inverse algebra A is a Lie group. We describe criteria ensuring that the Lie group $A^{\times}$ is regular in Milnor’s sense. Notably, $A^{\times}$ is regular if A is Mackey-complete and locally m-convex.

Whitney-type theorems on extension of functions on Carnot groups.

Vodop'yanov, S.K., Pupyshev, I.M. (2006)

Sibirskij Matematicheskij Zhurnal

Whittaker and Bessel functors for $G 𝕊 p_{4}$

Sergey Lysenko (2006)

Annales de l’institut Fourier

The theory of Whittaker functors for $G L_{n}$ is an essential technical tools in Gaitsgory’s proof of the Vanishing Conjecture appearing in the geometric Langlands correspondence. We define Whittaker functors for $G 𝕊 p_{4}$ and study their properties. These functors correspond to the maximal parabolic subgroup of $G 𝕊 p_{4}$ , whose unipotent radical is not commutative.We also study similar functors corresponding to the Siegel parabolic subgroup of $G 𝕊 p_{4}$ , they are related with Bessel models for $G 𝕊 p_{4}$ and Waldspurger models for $G L_{2}$ .We...

Currently displaying 2181 – 2200 of 2342

Previous Page 110 Next

Displaying 2181 – 2200 of 2342

Weakly commutative Lie semigroups.

Weighted diffeomorphism groups of Banach spaces and weighted mapping groups [Book]

Weighted orbital integrals on $S L (2, ℝ)$

Weighted Plancherel formula. Irreducible unitary representations and eigenspace representations.

Weil representations of ${SL}_{*} (2, A)$ for a locally profinite ring $A$ with involution.

Well Bounded Semigroups in Locally Compact Groups.

Well-bounded semigroups in connected groups.

Weyl group of a cuspidal parabolic

Weyl, H., Theorie der Darstellung kontinuierlcher halb-einfacher Gruppen durch lineare Transformationen. I

Weyl quantization for principal series.

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

When unit groups of continuous inverse algebras are regular Lie groups

Whitney-type theorems on extension of functions on Carnot groups.

Whittaker and Bessel functors for $G 𝕊 p_{4}$

Whittaker functions, prehomogeneous vector spaces and standard representations of p-adic groups.

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

Whittaker transforms on real-rank one Lie groups

Whittaker vectors and associated varieties.

Whittaker-Orthogonal models, functionariality and the Rankin-Selberg method.

Whittaker-Shintani functions on the symplectic group of Fourier-Jacobi type

Currently displaying 2181 – 2200 of 2342