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dc.contributor.authorFauser, Bertfried
dc.contributor.authorJarvis, Peter D.
dc.contributor.authorKing, Ronald C.
dc.date.accessioned2010-03-20T12:00:54Z
dc.date.accessioned2016-10-05T14:14:15Z
dc.date.available2010-03-20T12:00:54Z
dc.date.available2016-10-05T14:14:15Z
dc.date.issued2010-03-14
dc.identifier.urihttp://publications.mfo.de/handle/mfo/1169
dc.descriptionResearch in Pairs 2010en_US
dc.description.abstractSpecializations of Schur functions are exploited to define and evaluate the Schur functions $s_\lambda [\alpha X]$ and plethysms $s_\lambda [\alpha s_\nu(X))]$ for any $\alpha$-integer, real or complex. Plethysms are then used to define pairs of mutually inverse infinite series of Schur functions, $M_\pi$ and $L_\pi$, specified by arbitrary partitions $\pi$. These are used in turn to define and provide generating functions for formal characters, $s^{(\pi)}_\lambda$, of certain groups $H_\pi$, thereby extending known results for orthogonal and symplectic group characters. Each of these formal characters is then given a vertex operator realization, first in terms of the series $M=M_{(0)}$ and various $L^\bot_\sigma$ dual to $L_\sigma$, and then more explicitly in exponential form. Finally the replicated form of such vertex operators are written down.en_US
dc.language.isoenen_US
dc.publisherMathematisches Forschungsinstitut Oberwolfachen_US
dc.relation.ispartofseriesOberwolfach Preprints;2010,12
dc.subjectplethysmen_US
dc.subjecta-ringsen_US
dc.subjectanalytic continuationen_US
dc.subjectalgebraic combinatoricsen_US
dc.subjectgroup charactersen_US
dc.subjectvertex operatorsen_US
dc.subjectalgebraic groupsen_US
dc.subjectreplicated Schur functionsen_US
dc.titlePlethysms, replicated Schur functions and series, with applications to vertex operatorsen_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-2010-12
local.scientificprogramResearch in Pairs 2010
local.series.idOWP-2010-12
local.subject.msc05
local.subject.msc17
local.subject.msc11
local.subject.msc16
local.subject.msc20
local.subject.msc33
local.subject.msc43
dc.identifier.urnurn:nbn:de:101:1-2010090917219
dc.identifier.ppn1650180241


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