Sentence examples for discrete subgroups from inspiring English sources

In particular, Margulis proved a long-standing conjecture by Atle Selberg concerning discrete subgroups of semisimple Lie groups.

His publications include Discrete Subgroups of Semisimple Lie Groups (1991) and On Some Aspects of the Theory of Anosov Systems: With a Survey by Richard Sharp (2004).

Her main areas of research include discrete subgroups of Lie groups, homogeneous dynamics, and its connections to number theory and geometry.

We hypothesised that different histopathological features characterise different stages during knee OA progression, and that discrete subgroups can be defined based on validated measures of OA histopathological features.

We characterize all pairs of cocompact, discrete subgroups Γ1 and Γ2 of a two-step nilpotent Lie group M such that the quasi-regular representations of M on L2 Γ1\M) and L2 Γ2\M) are unitarily equivalent.

We also describe a pair of nonisomorphic, cocompact, discrete subgroups Γ1 and Γ2 of a three-step nilpotent Lie group M such that the quasi-regular representations of M on L2 Γ1\M) and L2 Γ2\M) are unitarily equivalent.

The discrete subgroup is assumed to have the finite geometric property but is otherwise not restricted.

Let Γ be a discrete subgroup of a semisimple Lie group G such that ΓβG has a finite volume.

In the special case when π is a holomorphic limit we interpret its multiplicity in L2(ΓβG) cohomologically, where Γ is a discrete subgroup of G.

Let G be a semi-simple Lie group of split rank 1 and Γ a discrete subgroup of G of cofinite volume.

We introduce the notion of H-invariant space for a countable discrete subgroup H of an LCA group G, and show that the concept of range function and the techniques of fiberization are valid in this context.