Crystal graphs for general linear Lie superalgebras and quasi-symmetric functions

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dc.creatorKwon, Jae-Hoon
dc.date2007-10-01
dc.date.accessioned2026-07-07T08:33:16Z
dc.date.available2026-07-07T08:33:16Z
dc.descriptionWe give a new representation theoretic interpretation of the ring of quasi-symmetric functions. This is obtained by showing that the super analogue of the Gessel's fundamental quasi-symmetric function can be realized as the character of an irreducible crystal for the Lie superalgebra $\frak{gl}_{n|n}$ associated to its non-standard Borel subalgebra with a maximal number of odd isotropic simple roots. We also present an algebraic characterization of these super quasi-symmetric functions.
dc.identifierhttps://arxiv.org/abs/0710.0253
dc.identifierhttp://arxiv.org/abs/0710.0253
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/139073
dc.subjectRepresentation Theory
dc.subjectQuantum Algebra
dc.subject17B37
dc.titleCrystal graphs for general linear Lie superalgebras and quasi-symmetric functions
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