✦ LIBER ✦

Schensted-Type Correspondence, Plactic Monoid, and Jeu de Taquin for Type Cn

✍ Scribed by Cédric Lecouvey

Publisher: Elsevier Science
Year: 2002
Tongue: English
Weight: 258 KB
Volume: 247
Category: Article
ISSN: 0021-8693
DOI: 10.1006/jabr.2001.8905

No coin nor oath required. For personal study only.

✦ Synopsis

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 with plactic relations.  2002 Elsevier Science