CIEM   05476
CENTRO DE INVESTIGACION Y ESTUDIOS DE MATEMATICA
Unidad Ejecutora - UE
congresos y reuniones científicas
Título:
A characterization of nilpotent Lie groups admitting square integrable representations
Autor/es:
M.L. BARBERIS, I. DOTTI, J.A. WOLF
Lugar:
Berkeley
Reunión:
Workshop; Lie groups, Lie algebras and representations; 2011
Institución organizadora:
Universidad de California, Berkeley
Resumen:
We study the conditions for a nilpotent Lie group to decompose into subgroups that have square integrable (relative discrete series) unitary representations. For those groups we show that the Plancherel formula is easily described in terms of the given square integrable subgroups. We also present a number of examples of interest in harmonic analysis, differential equations and differential geometry.