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It is known that the dual of a compact, connected, non-abelian group may contain no infinite central Sidon sets, but always does contain infinite central $p$ -Sidon sets for $p > 1 .$ We prove, by an essentially constructive method, that the latter assertion is also true for every infinite subset of the dual. In addition, we investigate the relationship between weighted central Sidonicity for a compact Lie group and Sidonicity for its torus.

Champs de vecteurs adjoints sur les groupes et algèbres de Lie semi-simples.

J. Dixmier (1979)

Journal für die reine und angewandte Mathematik

Characterization of cycle domains via Kobayashi hyperbolicity

Gregor Fels, Alan Huckleberry (2005)

Bulletin de la Société Mathématique de France

A real form $G$ of a complex semi-simple Lie group $G^{ℂ}$ has only finitely many orbits in any given $G^{ℂ}$ -flag manifold $Z = G^{ℂ} / Q$ . The complex geometry of these orbits is of interest, e.g., for the associated representation theory. The open orbits $D$ generally possess only the constant holomorphic functions, and the relevant associated geometric objects are certain positive-dimensional compact complex submanifolds of $D$ which, with very few well-understood exceptions, are parameterized by the Wolf cycle domains $Ω_{W} (D)$ in...

Characters of the Nullcone.

Wim H. Hesselink (1980)

Mathematische Annalen

Classification of almost spherical pairs of compact simple Lie groups

Ihor Mykytyuk, Anatoly Stepin (2000)

Banach Center Publications

All homogeneous spaces G/K (G is a simple connected compact Lie group, K a connected closed subgroup) are enumerated for which arbitrary Hamiltonian flows on T*(G/K) with G-invariant Hamiltonians are integrable in the class of Noether integrals and G-invariant functions.

Classification of spherical nilpotent orbits in complex symmetric space.

King, Donald R. (2004)

Journal of Lie Theory

Classification of two involutions on compact semisimple Lie groups and root systems.

Matsuki, Toshihiko (2002)

Journal of Lie Theory

Cocompact subgroups of semi-simple Lie groups.

Calvin C. Moore (1984)

Journal für die reine und angewandte Mathematik

Coefficients généralisés de séries principales sphériques et distributions sphériques sur G.../G... .

P. Delorme (1991)

Inventiones mathematicae

Cohomology of $G / P$ for classical complex Lie supergroups $G$ and characters of some atypical $G$ -modules

Ivan Penkov, Vera Serganova (1989)

Annales de l'institut Fourier

We compute the unique nonzero cohomology group of a generic $G^{0}$ - linearized locally free $𝒪$ -module, where $G^{0}$ is the identity component of a complex classical Lie supergroup $G$ and $P ↪ G^{0}$ is an arbitrary parabolic subsupergroup. In particular we prove that for $G \neq ℙ (m), S ℙ (m)$ this cohomology group is an irreducible $G^{0}$ -module. As an application we generalize the character formula of typical irreducible $G^{0}$ -modules to a natural class of atypical modules arising in this way.

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Displaying 1 – 20 of 37

$C^{- \infty}$ -Whittaker vectors for complex semisimple Lie groups, wave front sets, and Goldie rank polynomial representations

Cartan-decomposition subgroups of SU $(2, n)$ .

Cauchy-Szegö kernels for Hardy spaces on simple Lie groups.

Cayley orders

Central Fourier Analysis for Lorentz Spaces on Compact Lie Groups.

Central sidonicity for compact Lie groups

Champs de vecteurs adjoints sur les groupes et algèbres de Lie semi-simples.

Characterization of cycle domains via Kobayashi hyperbolicity

Characters of the Nullcone.

Classification of almost spherical pairs of compact simple Lie groups

Classification of spherical nilpotent orbits in complex symmetric space.

Classification of two involutions on compact semisimple Lie groups and root systems.

Cocompact subgroups of semi-simple Lie groups.

Coefficients généralisés de séries principales sphériques et distributions sphériques sur G.../G... .

Cohomology of $G / P$ for classical complex Lie supergroups $G$ and characters of some atypical $G$ -modules

Cohomology of Twisted Holomorphic Forms on Grassmann Manifolds and Quadric Hypersurfaces.

Commutativity of intertwining operators for semisimple groups

Compact manifold of coherent states invariant by semisimple Lie groups

Compact simple Lie groups and their $C$ -, $S$ -, and $E$ -transforms.

Compactification of parahermitian symmetric spaces and its applications. II: Stratifications and automorphism groups.

Currently displaying 1 – 20 of 37