N strongly quasi invariant measure on double coset

Autor:	Fahimian, Fatemeh, Gol, Rajab Ali Kamyabi, Esmaeelzadeh, Fatemeh
Rok vydání:	2018
Předmět:	Mathematics - Representation Theory
Druh dokumentu:	Working Paper
Popis:	Let G be a locally compact group, H and K be two closed sub-groups of G, and N be the normalizer group of K in G. In this paper, the existence and properties of a rho-function for the triple (K,G,H) and an N-strongly quasi-invariant measure of double coset space K\G/H is investigated. In particular, it is shown that any such measure arises from a rho-function. Furthermore, the conditions under which an N-strongly quasi-invariant measure arises from a rho-function are studied.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1807.00132 Zobrazit plný text záznamu View this record from Arxiv