CIEM 05476
CENTRO DE INVESTIGACION Y ESTUDIOS DE MATEMATICA
Unidad Ejecutora - UE
capítulos de libros
Título:
Spherical distributions of some generalized Gelfand pairs attached to the Heisenberg group
Autor/es:
FERNANDO LEVSTEIN; LINDA SAAL
Libro:
Groups, algebras and applications
Editorial:
AMS
Referencias:
Año: 2011; p. 241 - 255
Resumen:
In this work we find a family of generalized Gelfand pairs (G,K), where G = K ⋉ Hn, Hn is the Heisenberg group 2n + 1−dimensional, and K = SO (n) ⋉ R>0 acts on Hn by automorphisms. We consider the cases n = 1, 2 and determine a set of generators of the algebra of left G-invariant and right K-invariant differential operators on G. Finally we describe the corresponding spherical distributions.
