Spinoriality of orthogonal representations of reductive groups

dc.contributor.author	JOSHI, ROHIT	en_US
dc.contributor.author	SPALLONE, STEVEN	en_US
dc.date.accessioned	2020-10-16T06:36:48Z
dc.date.available	2020-10-16T06:36:48Z
dc.date.issued	2020-09	en_US
dc.identifier.citation	Representation Theory, 24, 435-469.	en_US
dc.identifier.issn	1088-4165	en_US
dc.identifier.uri	http://dr.iiserpune.ac.in:8080/xmlui/handle/123456789/5129
dc.identifier.uri	https://doi.org/10.1090/ert/552	en_US
dc.description.abstract	Let $ G$ be a connected reductive group over a field $ F$ of characteristic 0, and $ \varphi : G \to \operatorname {SO}(V)$ an orthogonal representation over $ F$. We give criteria to determine when $ \varphi $ lifts to the double cover $ \operatorname {Spin}(V)$.	en_US
dc.language.iso	en	en_US
dc.publisher	American Mathematical Society	en_US
dc.subject	Reductive groups	en_US
dc.subject	Orthogonal representations	en_US
dc.subject	Dynkin index	en_US
dc.subject	Lifting criterion	en_US
dc.subject	Weyl dimension formula	en_US
dc.subject	2020	en_US
dc.subject	2020-OCT-WEEK2	en_US
dc.subject	TOC-OCT-2020	en_US
dc.title	Spinoriality of orthogonal representations of reductive groups	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