In this paper we obtain $L^p$ versions of the classical theorems of induced representations, namely, the inducing in stages theorem, the Kronecker product theorem, the Frobenius Reciprocity theorem and the subgroup theorem. In doing so we adopt the tensor product approach of Rieffel to inducing
Publié le : 2000-07-05
Classification:
théorème du sous-groupe,
p-induction,
produits tensoriel,
opérateurs p-nucléaires,
induction par étapes,
produit de Kronecker,
théorème de réciprocité de Frobenius,
théorème de Peter-Weil,
théorème du sous-groupe.,
43A65, 22D12, 22D30,
[MATH.MATH-CA]Mathematics [math]/Classical Analysis and ODEs [math.CA]
@article{hal-00007481,
author = {Jaming, Philippe and Moran, William},
title = {Tensor Products and p-induction of Representations on Banach Spaces},
journal = {HAL},
volume = {2000},
number = {0},
year = {2000},
language = {en},
url = {http://dml.mathdoc.fr/item/hal-00007481}
}
Jaming, Philippe; Moran, William. Tensor Products and p-induction of Representations on Banach Spaces. HAL, Tome 2000 (2000) no. 0, . http://gdmltest.u-ga.fr/item/hal-00007481/