Howe duality and Kostant Homology Formula for infinite-dimensional Lie superalgebras

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dc.creatorCheng, Shun-Jen
dc.creatorKwon, Jae-Hoon
dc.date2008-06-16
dc.date.accessioned2026-07-07T12:08:58Z
dc.date.available2026-07-07T12:08:58Z
dc.descriptionUsing Howe duality we compute explicitly Kostant-type homology groups for a wide class of representations of the infinite-dimensional Lie superalgebra $\hat{\frak{gl}}_{\infty|\infty}$ and its classical subalgebras at positive integral levels. We also obtain Kostant-type homology formulas for the Lie algebra $ widehat{\frak{gl}}_\infty$ at negative integral levels. We further construct resolutions in terms of generalized Verma modules for these representations.
dc.identifierhttps://arxiv.org/abs/0806.2480
dc.identifierhttp://arxiv.org/abs/0806.2480
dc.identifierInternational Mathematics Research Notices (2008) vol. 2008, article ID rnn085, 52 pages
dc.identifierdoi:10.1093/imrn/rnn085
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/209476
dc.subjectRepresentation Theory
dc.subject17B56;17B10
dc.titleHowe duality and Kostant Homology Formula for infinite-dimensional Lie superalgebras
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