CIEM   05476
CENTRO DE INVESTIGACION Y ESTUDIOS DE MATEMATICA
Unidad Ejecutora - UE
artículos
Título:
A Generalized Gelfand Pair Attached to a 3-Step Nilpotent Lie Group
Autor/es:
SAAL, LINDA V.; GALLO, ANDREA L.
Revista:
JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS
Editorial:
BIRKHAUSER BOSTON INC
Referencias:
Año: 2020 vol. 26
ISSN:
1069-5869
Resumen:
Let N be a nilpotent Lie group and K a compact subgroup of theautomorphism group Aut(N) of N. It is well-known that if (K n N, K) is a Gelfandpair then N is at most 2-step nilpotent Lie group.The notion of Gelfand pair was generalized when K is a non-compact group. Inthis work, we give an example of a 3-step nilpotent Lie group and a non-compactsubgroup K of Aut(N) such that (K n N, N) is a generalized Gelfand pair.