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Schensted-Type Correspondences and Plactic Monoids for TypesBnandDn

✍ Scribed by Cedric Lecouvey


Book ID
111548573
Publisher
Springer
Year
2003
Tongue
English
Weight
272 KB
Volume
18
Category
Article
ISSN
0925-9899

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Schensted-Type Correspondence, Plactic M
✍ CΓ©dric Lecouvey πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 258 KB

We use Kashiwara's theory of crystal bases to study the plactic monoid for U q sp 2n . Then we describe the corresponding insertion and sliding algorithms. The sliding algorithm is essentially the symplectic Jeu de Taquin defined by Sheats and our construction gives the proof of its compatibility wi