Computation of the metaplectic kernel
Computing nilpotent quotients in finitely presented Lie rings.
Conal Heisenberg algebras and associated Hilbert spaces.
Conal orders on homogeneous spaces.
Conditions suffisantes de résolubilité locale d'opérateurs invariants à gauche sur des groupes nilpotents
Conducteur des répresentations du group elinéaire.
Confluent Hypergeometric Functions on Tube Domains.
Conformal geometry and spatially homogeneous cosmology
Conformally invariant trilinear forms on the sphere
To each complex number is associated a representation of the conformal group on (spherical principal series). For three values , we construct a trilinear form on , which is invariant by . The trilinear form, first defined for in an open set of is extended meromorphically, with simple poles located in an explicit family of hyperplanes. For generic values of the parameters, we prove uniqueness of trilinear invariant forms.
Conjugacy classes of finite solvable subgroups in Lie groups
Conjugate and cut time in the sub-Riemannian problem on the group of motions of a plane
The left-invariant sub-Riemannian problem on the group of motions (rototranslations) of a plane SE(2) is studied. Local and global optimality of extremal trajectories is characterized. Lower and upper bounds on the first conjugate time are proved. The cut time is shown to be equal to the first Maxwell time corresponding to the group of discrete symmetries of the exponential mapping. Optimal synthesis on an open dense subset of the state space is described.
Connected abelian complex Lie groups and number fields
In this note we explain a way to associate to any number field some connected complex abelian Lie groups. Further, we study the case of non-totally real cubic number fields, and we see that they are intimately related with the Cousin groups (toroidal groups) of complex dimension and rank .
Consequences of symmetries on the analysis and construction of turbulence models.
Conservation de la ramification modérée par la correspondance de Howe
Constant term in Harish-Chandra’s limit formula
Let be a real form of a complex semisimple Lie group . Recall that Rossmann defined a Weyl group action on Lagrangian cycles supported on the conormal bundle of the flag variety of . We compute the signed average of the Weyl group action on the characteristic cycle of the standard sheaf associated to an open -orbit on the flag variety. This result is applied to find the value of the constant term in Harish-Chandra’s limit formula for the delta function at zero.
Constructing conformally flat structures on some Seifert fibred 3-manifolds.
Construction de revêtements du groupe conforme d’un espace vectoriel muni d’une «métrique» de type
Construction d'un groupe de Kac-Moody et applications
Contact and conformal maps on Iwasawa N groups
The action of the conformal group on may be characterized in differential geometric terms, even locally: a theorem of Liouville states that a map between domains and in whose differential is a (variable) multiple of a (variable) isometry at each point of is the restriction to of a transformation , for some in . In this paper, we consider the problem of characterizing the action of a more general semisimple Lie group on the space , where is a parabolic subgroup. We solve...
Contact des systèmes des sousgroupes d'un groupe de Lie