VTechWorks staff will be away for the Thanksgiving holiday beginning at noon on Wednesday, November 27, through Friday, November 29. We will resume normal operations on Monday, December 2. Thank you for your patience.
 

Algebras and Varieties

Simple item page
dc.contributor.authorGreen, Edward L.en
dc.contributor.authorHille, Lutzen
dc.contributor.authorSchroll, Sibylleen
dc.contributor.departmentMathematicsen
dc.date.accessioned2021-01-06T13:38:20Zen
dc.date.available2021-01-06T13:38:20Zen
dc.date.issued2020-03en
dc.description.abstractIn this paper we introduce new affine algebraic varieties whose points correspond to associative algebras. We show that the algebras within a variety share many important homological properties. In particular, any two algebras in the same variety have the same dimension. The cases of finite dimensional algebras as well as that of graded algebras arise as subvarieties of the varieties we define. As an application we show that for algebras of global dimension two over the complex numbers, any algebra in the variety continuously deforms to a monomial algebra.en
dc.description.notesThe first and third author were partially supported by an LMS scheme 4 grant. The third author is supported by the EPSRC through the Early Career Fellowship EP/P016294/1.en
dc.description.sponsorshipEPSRCEngineering & Physical Sciences Research Council (EPSRC) [EP/P016294/1]; LMS scheme 4 granten
dc.format.mimetypeapplication/pdfen
dc.identifier.doihttps://doi.org/10.1007/s10468-020-09951-3en
dc.identifier.eissn1572-9079en
dc.identifier.issn1386-923Xen
dc.identifier.urihttp://hdl.handle.net/10919/101758en
dc.language.isoenen
dc.rightsCreative Commons Attribution 4.0 Internationalen
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/en
dc.subjectRepresentation theory of associative algebrasen
dc.subjectNon-commutative Grobner basesen
dc.subjectGlobal dimensionen
dc.subjectCartan conjectureen
dc.titleAlgebras and Varietiesen
dc.title.serialAlgebras and Representation Theoryen
dc.typeArticle - Refereeden
dc.type.dcmitypeTexten
dc.type.dcmitypeStillImageen

Files

Original bundle
Now showing 1 - 1 of 1
Thumbnail Image
Name:
Green2020_Article_AlgebrasAndVarieties.pdf
Size:
467.87 KB
Format:
Adobe Portable Document Format
Description:
Download

Collections

Scholarly Works, Mathematics