G-distributions et G-intégrales multiplicatives sur une variété
Gelfand pairs and spherical functions.
Gelfand transforms of -invariant Schwartz functions on the free group
The spectrum of a Gelfand pair , where is a nilpotent group, can be embedded in a Euclidean space. We prove that in general, the Schwartz functions on the spectrum are the Gelfand transforms of Schwartz -invariant functions on . We also show the converse in the case of the Gelfand pair , where is the free two-step nilpotent Lie group with three generators. This extends recent results for the Heisenberg group.
Gelfand-Kirillov Dimension for Harish-Chandra Modules.
General theory of Lie derivatives for Lorentz tensors
We show how the ad hoc prescriptions appearing in 2001 for the Lie derivative of Lorentz tensors are a direct consequence of the Kosmann lift defined earlier, in a much more general setting encompassing older results of Y. Kosmann about Lie derivatives of spinors.
Generalized atypical supertableaux for superunitary and orthosymplectic groups
Generalized coefficients of spherical principal series for split symmetric spaces. (Coefficients généralisés de séries principales sphériques relatifs aux espaces symétriques déployés.)
Generalized Gelfand pairs associated with the Heisenberg group. (Paires de Guelfand généralisées associées au groupe d'Heisenberg.)
Generalized Jacobi forms and abelian schemes over arithmetic varieties.
We generalize Jacobi forms of an arbitrary degree and construct torus bundles over abelian schemes whose sections can be identified with such generalized Jacobi forms.
Generalized Picard lattices arising from half-integral conditions
Generalized Verma module homomorphisms in singular character
In this paper we study invariant differential operators on manifolds with a given parabolic structure. The model for the parabolic geometry is the quotient of the orthogonal group by a maximal parabolic subgroup corresponding to crossing of the -th simple root of the Dynkin diagram. In particular, invariant differential operators discussed in the paper correspond (in a flat model) to the Dirac operator in several variables.
Generalized Verma modules, loop space cohomology and MacDonald-type identities
Générateurs de l’algèbre avec ou et
Générateurs de l’algèbre avec ou et
Geodesic cycles and the Weil representation I ; quotients of hyperbolic space and Siegel modular forms
Geodesic loops.
Geodesically complete Lorentzian metrics on some homogeneous 3 manifolds.
Geodesically equivalent metrics on homogenous spaces
Two metrics on a manifold are geodesically equivalent if the sets of their unparameterized geodesics coincide. We show that if two -invariant metrics of arbitrary signature on homogenous space are geodesically equivalent, they are affinely equivalent, i.e. they have the same Levi-Civita connection. We also prove that the existence of nonproportional, geodesically equivalent, -invariant metrics on homogenous space implies that their holonomy algebra cannot be full. We give an algorithm for...
Geometria integral de los grupos ST(n+1) y ST 1 (n+1) en el sepacio proyectivo Pn
Geometric construction of the classical r-matrix for the elliptic Calogero-Moser system
By applying the Hamiltonian reduction technique we derive a matrix first order differential equation that yields the classical r-matrices of the elliptic (Euler-) Calogero-Moser systems as well as their degenerations.