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dc.contributor.authorGorelik, Maria
dc.contributor.authorMöseneder Frajria, Pierluigi
dc.contributor.authorPapi, Paolo
dc.contributor.authorKac, Victor
dc.date.accessioned2015-01-15T19:26:11Z
dc.date.available2015-01-15T19:26:11Z
dc.date.issued2012-03
dc.date.submitted2011-07
dc.identifier.issn0289-2316
dc.identifier.issn1861-3624
dc.identifier.urihttp://hdl.handle.net/1721.1/92901
dc.description.abstractWe provide formulas for the denominator and superdenominator of a basic classical type Lie superalgebra for any set of positive roots. We establish a connection between certain sets of positive roots and the theory of reductive dual pairs of real Lie groups, and, as an application of these formulas, we recover the Theta correspondence for compact dual pairs. Along the way we give an explicit description of the real forms of basic classical type Lie superalgebras.en_US
dc.description.sponsorshipNational Science Foundation (U.S.)en_US
dc.description.sponsorshipERC (Advanced Grant)en_US
dc.language.isoen_US
dc.publisherSpringer-Verlagen_US
dc.relation.isversionofhttp://dx.doi.org/10.1007/s11537-012-1104-zen_US
dc.rightsCreative Commons Attribution-Noncommercial-Share Alikeen_US
dc.rights.urihttp://creativecommons.org/licenses/by-nc-sa/4.0/en_US
dc.sourcearXiven_US
dc.titleDenominator identities for finite-dimensional Lie superalgebras and Howe duality for compact dual pairsen_US
dc.typeArticleen_US
dc.identifier.citationGorelik, Maria, Victor G. Kac, Pierluigi Möseneder Frajria, and Paolo Papi. “Denominator Identities for Finite-Dimensional Lie Superalgebras and Howe Duality for Compact Dual Pairs.” Japanese Journal of Mathematics 7, no. 1 (March 2012): 41–134.en_US
dc.contributor.departmentMassachusetts Institute of Technology. Department of Mathematicsen_US
dc.contributor.mitauthorKac, Victoren_US
dc.relation.journalJapanese Journal of Mathematicsen_US
dc.eprint.versionAuthor's final manuscripten_US
dc.type.urihttp://purl.org/eprint/type/JournalArticleen_US
eprint.statushttp://purl.org/eprint/status/PeerRevieweden_US
dspace.orderedauthorsGorelik, Maria; Kac, Victor G.; Möseneder Frajria, Pierluigi; Papi, Paoloen_US
dc.identifier.orcidhttps://orcid.org/0000-0002-2860-7811
mit.licenseOPEN_ACCESS_POLICYen_US
mit.metadata.statusComplete


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