On commuting varieties of nilradicals of Borel subalgebras of reductive Lie algebras
dc.bibliographicCitation.seriesTitle | Oberwolfach Preprints (OWP) | eng |
dc.bibliographicCitation.volume | 2012-14 | |
dc.contributor.author | Goodwin, Simon M. | |
dc.contributor.author | Röhrle, Gerhard | |
dc.date.available | 2019-06-28T08:02:54Z | |
dc.date.issued | 2012 | |
dc.description.abstract | Let G be a connected reductive algebraic group defined over an algebraically closed field k of characteristic zero. We consider the commuting variety C(u) of the nilradical u of the Lie algebra b of a Borel subgroup B of G. In case B acts on u with only a finite number of orbits, we verify that C(u) is equidimensional and that the irreducible components are in correspondence with the distinguished B-orbits in u. We observe that in general C(u) is not equidimensional, and determine the irreducible components of C(u) in the minimal cases where there are infinitely many B-orbits in u. | eng |
dc.description.version | publishedVersion | eng |
dc.format | application/pdf | |
dc.identifier.issn | 1864-7596 | |
dc.identifier.uri | https://doi.org/10.34657/2805 | |
dc.identifier.uri | https://oa.tib.eu/renate/handle/123456789/1941 | |
dc.language.iso | eng | eng |
dc.publisher | Oberwolfach : Mathematisches Forschungsinstitut Oberwolfach | eng |
dc.relation.doi | https://doi.org/10.14760/OWP-2012-14 | |
dc.rights.license | This document may be downloaded, read, stored and printed for your own use within the limits of § 53 UrhG but it may not be distributed via the internet or passed on to external parties. | eng |
dc.rights.license | Dieses Dokument darf im Rahmen von § 53 UrhG zum eigenen Gebrauch kostenfrei heruntergeladen, gelesen, gespeichert und ausgedruckt, aber nicht im Internet bereitgestellt oder an Außenstehende weitergegeben werden. | ger |
dc.subject.ddc | 510 | eng |
dc.subject.other | Commuting varieties | eng |
dc.subject.other | Borel subalgebras | eng |
dc.title | On commuting varieties of nilradicals of Borel subalgebras of reductive Lie algebras | eng |
dc.type | Report | eng |
dc.type | Text | eng |
tib.accessRights | openAccess | eng |
wgl.contributor | MFO | eng |
wgl.subject | Mathematik | eng |
wgl.type | Report / Forschungsbericht / Arbeitspapier | eng |
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