Finiteness of the number of coideal subalgebras

dc.contributor.author	Skryabin S.
dc.date.accessioned	2018-09-19T20:03:46Z
dc.date.available	2018-09-19T20:03:46Z
dc.date.issued	2017
dc.identifier.issn	0002-9939
dc.identifier.uri	https://dspace.kpfu.ru/xmlui/handle/net/142503
dc.description.abstract	© 2016 American Mathematical Society.It is proved that any finite dimensional Hopf algebra which is either semisimple or cosemisimple has finitely many right coideal subalgebras. As a consequence, over an algebraically closed base field any action of a finite dimensional cosemisimple Hopf algebra on a commutative domain factors through an action of a group algebra. This extends two results of Etingof and Walton to the case where the Hopf algebra is cosemisimple, but not necessarily semisimple.
dc.relation.ispartofseries	Proceedings of the American Mathematical Society
dc.title	Finiteness of the number of coideal subalgebras
dc.type	Article
dc.relation.ispartofseries-issue	7
dc.relation.ispartofseries-volume	145
dc.collection	Публикации сотрудников КФУ
dc.relation.startpage	2859
dc.source.id	SCOPUS00029939-2017-145-7-SID85018738530

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Коллекция содержит публикации сотрудников Казанского федерального (до 2010 года Казанского государственного) университета, проиндексированные в БД Scopus, начиная с 1970г.