Schensted-Type Correspondences and Plactic Monoids for Types B
n and D
n |
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| Authors: | Cedric Lecouvey |
| |
| Institution: | (1) Departemente De Mathematiques, Université De Caen, Caen, CEDEX, 14032, France |
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| Abstract: | We 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. |
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| Keywords: | combinatorics quantum algebra representation theory |
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