|
|
|
|
|
A description of the
topology on the dual space of a nilpotent Lie group
Kenneth Irwin Joy |
|
Vol. 112 (1984), No. 1, 135–139
|
Abstract |
|
The study of convergence of sequences of elements of the dual space Ĝ, for a nilpotent Lie group G, is done by reducing the study to convergence of sequences of subgroup representation pairs, whose subgroup component has dimension less than the dimension of G. The main results are then applied to give a new proof to the fact that the Kirillov correspondence is a homeomorphism for nilpotent Lie groups. |
Mathematical Subject Classification 2000
Primary: 22E27
Secondary: 22E25
|
Milestones
Received: 19 November 1982
Published: 1 May 1984
|
Authors |
| Kenneth Irwin Joy | |
|
