Self-Dual Cuspidal Representations

dc.contributor.author	Adler, Jeffrey D.	en_US
dc.contributor.author	MISHRA, MANISH	en_US
dc.date.accessioned	2020-06-23T07:02:11Z
dc.date.available	2020-06-23T07:02:11Z
dc.date.issued	2020-06	en_US
dc.identifier.citation	Representation Theory, 24, 210-228.	en_US
dc.identifier.issn	1088-4165	en_US
dc.identifier.uri	http://dr.iiserpune.ac.in:8080/xmlui/handle/123456789/4829
dc.identifier.uri	https://doi.org/10.1090/ert/541	en_US
dc.description.abstract	Let G be a connected reductive group over a finite field f of order q. When q <= 5, we make further assumptions on G. Then we determine precisely when G(f) admits irreducible, cuspidal representations that are self-dual, of Deligne-Lusztig type, or both. Finally, we outline some consequences for the existence of self-dual supercuspidal representations of reductive p-adic groups.	en_US
dc.language.iso	en	en_US
dc.publisher	American Mathematical Society	en_US
dc.subject	Finite reductive group	en_US
dc.subject	p-adic group	en_US
dc.subject	Cuspidal representation	en_US
dc.subject	Super-cuspidal representation	en_US
dc.subject	Self-dual	en_US
dc.subject	TOC-JUN-2020	en_US
dc.subject	2020	en_US
dc.subject	2020-JUN-WEEK3	en_US
dc.title	Self-Dual Cuspidal Representations	en_US
dc.type	Article	en_US
dc.contributor.department	Dept. of Mathematics	en_US
dc.identifier.sourcetitle	Representation Theory	en_US
dc.publication.originofpublisher	Foreign	en_US