Zur Kurzanzeige

dc.contributor.authorGrantcharov, Dimitar
dc.contributor.authorPenkov, Ivan
dc.contributor.authorSerganova, Vera
dc.date.accessioned2022-05-30T07:26:26Z
dc.date.available2022-05-30T07:26:26Z
dc.date.issued2022-05-30
dc.identifier.urihttp://publications.mfo.de/handle/mfo/3951
dc.description.abstractWe classify simple bounded weight modules over the complex simple Lie superalgebras $\mathfrak{sl}(\infty |\infty)$ and $\mathfrak{osp} (m | 2n)$, when at least one of $m$ and $n$ equals $\infty$. For $\mathfrak{osp} (m | 2n)$ such modules are of spinor-oscillator type, i.e., they combine into one the known classes of spinor $\mathfrak{o} (m)$-modules and oscillator-type $\mathfrak{sp} (2n)$-modules. In addition, we characterize the category of bounded weight modules over $\mathfrak{osp} (m | 2n)$ (under the assumption $\dim \, \mathfrak{osp} (m | 2n) = \infty$) by reducing its study to already known categories of representations of $\mathfrak{sp} (2n)$, where $n$ possibly equals $\infty$. When classifying simple bounded weight $\mathfrak{sl}(\infty |\infty)$-modules, we prove that every such module is integrable over one of the two infinite-dimensional ideals of the Lie algebra $\mathfrak{sl}(\infty |\infty)_{\bar{0}}$. We finish the paper by establishing some first facts about the category of bounded weight $\mathfrak{sl} (\infty |\infty)$-modules.en_US
dc.language.isoen_USen_US
dc.publisherMathematisches Forschungsinstitut Oberwolfachen_US
dc.relation.ispartofseriesOberwolfach Preprints;2022-09
dc.subjectDirect limit Lie superalgebraen_US
dc.subjectClifford superalgebraen_US
dc.subjectWeyl superalgebraen_US
dc.subjectWeight moduleen_US
dc.subjectAnnihilatoren_US
dc.titleBounded Weight Modules for Basic Classical Lie Superalgebras at Infinityen_US
dc.typePreprinten_US
dc.rights.licenseDieses 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.de
dc.rights.licenseThis 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.en
dc.identifier.doi10.14760/OWP-2022-09
local.scientificprogramOWRF 2021en_US
local.series.idOWP-2022-09en_US
local.subject.msc17en_US
dc.identifier.urnurn:nbn:de:101:1-2022112208342970902291
dc.identifier.ppn1823172482


Dateien zu dieser Ressource

Thumbnail

Das Dokument erscheint in:

Zur Kurzanzeige