Please use this identifier to cite or link to this item:
https://hdl.handle.net/2440/126584
Citations | ||
Scopus | Web of Science® | Altmetric |
---|---|---|
?
|
?
|
Full metadata record
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Hochs, P. | - |
dc.contributor.author | Song, Y. | - |
dc.contributor.author | Yu, S. | - |
dc.date.issued | 2020 | - |
dc.identifier.citation | Mathematische Annalen, 2020; 378(1-2):97-152 | - |
dc.identifier.issn | 0025-5831 | - |
dc.identifier.issn | 1432-1807 | - |
dc.identifier.uri | http://hdl.handle.net/2440/126584 | - |
dc.description | Published: 16 May 2020 | - |
dc.description.abstract | Let G be a connected, linear, real reductive Lie group with compact centre. Let K<G be maximal compact. For a tempered representation π of G, we realise the restriction π|K as the K-equivariant index of a Dirac operator on a homogeneous space of the form G/H, for a Cartan subgroup H<G. (The result in fact applies to every standard representation.) Such a space can be identified with a coadjoint orbit of G, so that we obtain an explicit version of Kirillov’s orbit method for π|K. In a companion paper, we use this realisation of π|K to give a geometric expression for the multiplicities of the K-types of π, in the spirit of the quantisation commutes with reduction principle. This generalises work by Paradan for the discrete series to arbitrary tempered representations. | - |
dc.description.statementofresponsibility | Peter Hochs, Yanli Song and Shilin Yu | - |
dc.language.iso | en | - |
dc.publisher | Springer-Verlag | - |
dc.rights | © Springer-Verlag GmbH Germany, part of Springer Nature 2020 | - |
dc.source.uri | http://dx.doi.org/10.1007/s00208-020-02006-4 | - |
dc.title | A geometric realisation of tempered representations restricted to maximal compact subgroups | - |
dc.type | Journal article | - |
dc.identifier.doi | 10.1007/s00208-020-02006-4 | - |
pubs.publication-status | Published | - |
dc.identifier.orcid | Hochs, P. [0000-0001-9232-2936] | - |
Appears in Collections: | Aurora harvest 8 Mathematical Sciences publications |
Files in This Item:
There are no files associated with this item.
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.