Schensted-type correspondences and plactic monoids for types $B_{n}$ and $D_{n}$

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dc.creatorlecouvey, Cedric
dc.date2002-11-28
dc.date.accessioned2026-07-07T04:53:23Z
dc.date.available2026-07-07T04:53:23Z
dc.descriptionWe use Kashiwara's theory of crystal bases to study plactic monoids for $U_{q}(so_{2n+1})$ and $U_{q}(so_{2n})$. Simultaneously we describe a Schensted type correspondence in the crystal graphs of tensor powers of vector and spin representations and we derive a Jeu de Taquin for type $B$ from the Sheats sliding algorithm.
dc.description28 pages
dc.identifierhttps://arxiv.org/abs/math/0211444
dc.identifierhttp://arxiv.org/abs/math/0211444
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/65824
dc.subjectCombinatorics
dc.subjectQuantum Algebra
dc.titleSchensted-type correspondences and plactic monoids for types $B_{n}$ and $D_{n}$
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