Crystal graphs of irreducible $U_v(\hat{sl}_e)$-modules of level two and Uglov bipartitions

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dc.creatorJacon, Nicolas
dc.date2006-07-11
dc.date.accessioned2026-07-07T07:18:14Z
dc.date.available2026-07-07T07:18:14Z
dc.descriptionWe give a simple description of the natural bijection between the set of FLOTW bipartitions and the set of Uglov bipartitions (which generalizes the set of Kleshchev bipartitions). These bipartitions, which label the crystal graphs of irreducible $\mathcal{U}\_v({\hat{\mathfrak{sl}}\_e})$-modules of level two, naturally appear in the context of the modular representation theory of Hecke algebras of type $B\_n$.
dc.identifierhttps://arxiv.org/abs/math/0607251
dc.identifierhttp://arxiv.org/abs/math/0607251
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/114226
dc.subjectRepresentation Theory
dc.subjectQuantum Algebra
dc.subject17B37, 20C08
dc.titleCrystal graphs of irreducible $U_v(\hat{sl}_e)$-modules of level two and Uglov bipartitions
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