Pseudo-Galois Extensions and Hopf Algebroids

dc.creatorKadison, Lars
dc.date2005-08-22
dc.date2006-08-21
dc.date.accessioned2026-07-07T06:42:49Z
dc.date.available2026-07-07T06:42:49Z
dc.descriptionA pseudo-Galois extension is shown to be a depth two extension. Studying its left bialgebroid, we construct an enveloping Hopf algebroid for the semi-direct product of groups, or more generally involutive Hopf algebras, and their module algebras. It is a type of cofibered sum of two inclusions of the Hopf algebra into the semi-direct product and its derived right crossed product. Van Oystaeyen and Panaite observe that this Hopf algebroid is non-trivially isomorphic to a Connes-Moscovici Hopf algebroid, which raises interesting comparative questions.
dc.description16 pages
dc.identifierhttps://arxiv.org/abs/math/0508411
dc.identifierhttp://arxiv.org/abs/math/0508411
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/102185
dc.subjectQuantum Algebra
dc.subjectRings and Algebras
dc.subject13B05, 16W30, 20L05, 81R50
dc.titlePseudo-Galois Extensions and Hopf Algebroids
dc.typetext

Files

Collections