Quasi-finite representations,free field realizations,and character formulae of Lie superalgebras of infinite rank

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dc.creatorLam, N.
dc.creatorZhang, R. B.
dc.date2003-11-07
dc.date.accessioned2026-07-07T05:02:42Z
dc.date.available2026-07-07T05:02:42Z
dc.descriptionWe classify the quasi-finite irreducible highest weight modules over the infinite rank Lie superalgebras $\hgltwo$, $\hC$ and $\hD$, and determine the necessary and sufficient conditions for quasi-finite irreducible highest weight modules to be unitarizable with respect to natural $\ast$-structures of the Lie superalgebras. The unitarizable irreducible modules are constructed in terms of Fock spaces of free quantum fields, and explicit formulae for their formal characters are also obtained by investigating Howe dualities between the infinite rank Lie superalgebras and classical Lie groups.
dc.description57 pages
dc.identifierhttps://arxiv.org/abs/math/0311096
dc.identifierhttp://arxiv.org/abs/math/0311096
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/69107
dc.subjectQuantum Algebra
dc.subjectRepresentation Theory
dc.subject17B65, 17B10
dc.titleQuasi-finite representations,free field realizations,and character formulae of Lie superalgebras of infinite rank
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