On the local structure of doubly laced crystals

dc.creatorSternberg, Philip
dc.date2006-03-22
dc.date2006-10-14
dc.date.accessioned2026-07-07T07:07:10Z
dc.date.available2026-07-07T07:07:10Z
dc.descriptionLet $\mathfrak{g}$ be a Lie algebra all of whose regular subalgebras of rank 2 are type $A_{1}\times A_{1}$, $A_{2}$, or $C_{2}$, and let $B$ be a crystal graph corresponding to a representation of $\mathfrak{g}$. We explicitly describe the local structure of $B$, confirming a conjecture of Stembridge.
dc.description16 pages, 7 figures First version used type $B_2$ crystals; current version uses type $C_2$ crystals. To appear in J. Comb. Theory, Ser. A
dc.identifierhttps://arxiv.org/abs/math/0603547
dc.identifierhttp://arxiv.org/abs/math/0603547
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/110294
dc.subjectRepresentation Theory
dc.subjectCombinatorics
dc.subject17B37 (Primary) 05C75 (Secondary)
dc.titleOn the local structure of doubly laced crystals
dc.typetext

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