Limit distributions of expanding translates of certain orbits on homogeneous spaces
| dc.creator | Shah, Nimish A. | |
| dc.date | 2000-02-22 | |
| dc.date.accessioned | 2026-07-07T04:34:00Z | |
| dc.date.available | 2026-07-07T04:34:00Z | |
| dc.description | Let L be a Lie group and Lambda a lattice in L. Suppose G is a non-compact simple Lie group realized as a Lie subgroup of L, and the image of G on L/Lambda is dense. Let c be a diagonalizable element of G not contained in a compact subgroup. Let U be the expanding horospherical subgroup of G associated to c. Let Omega be a nonempty open subset of U, and {n_i} be a sequence of natural numbers tending to infinity. It is shown that the image of the union of the sets c^{n_i}.Omega in L/Lambda is dense. A stronger measure theoretic formulation of this result is also obtained. Among other applications of the above result, we describe G-equivariant topological factors of the product space L/Lambda \times G/P, where the real rank of G is greater than 1, P is a parabolic subgroup of G, and G acts diagonally. We also describe equivariant topological factors of unipotent flows on finite volume homogeneous spaces of Lie groups. | |
| dc.identifier | https://arxiv.org/abs/math/0002184 | |
| dc.identifier | http://arxiv.org/abs/math/0002184 | |
| dc.identifier | Proc. Indian Acad. Sci. Math. Sci. 106 (1996), no. 2, 105--125 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/58740 | |
| dc.subject | Representation Theory | |
| dc.subject | Differential Geometry | |
| dc.subject | 22E40 | |
| dc.title | Limit distributions of expanding translates of certain orbits on homogeneous spaces | |
| dc.type | text |