Conformal symmetry breaking on differential forms and some applications
type: Item
instance of: scholarly article
title: Conformal symmetry breaking on differential forms and some applications
zbMATH Open document ID: 1430.22017
DOI: 10.1007/978-3-030-01156-7_32
author: Toshiyuki Kobayashi
publication date: 2019-10-23T00:00:00Z
full work available at URL: https://arxiv.org/abs/1712.09212
review text: The paper under review is concerned with the so-called \textit{branching problem}, that is the problem of the restriction of representations from a group to a subgroup, mostly in the setup of real reductive Lie groups. The paper surveys some recent advances in understanding the branching problem by several examples. Special attention is payed to the question of describing the so-called \textit{symmetry breaking operators}, that is homomorphisms from the restricted representation to irreducible representations, which is especially relevant in the case of non-unitary representations. Various applications of these questions to the theory of automorphic forms are discussed. For the entire collection see [Zbl 1417.53002].
reviewed by: Volodymyr Mazorchuk
Mathematics Subject Classification ID: 22E46
Mathematics Subject Classification ID: 11F70
Mathematics Subject Classification ID: 53C18
zbMATH DE Number: 7121444
zbMATH Keywords: branching rule
zbMATH Keywords: conformal geometry
zbMATH Keywords: reductive group
zbMATH Keywords: symmetry breaking
MaRDI profile type: Publication
OpenAlex ID: W2779353183
arXiv ID: 1712.09212
description: scientific article