Jeu de taquin and diamond cone for Lie (super)algebras
| Affiliation auteurs | !!!! Error affiliation !!!! |
| Titre | Jeu de taquin and diamond cone for Lie (super)algebras |
| Type de publication | Journal Article |
| Year of Publication | 2015 |
| Auteurs | Agrebaoui B, Arnal D, Ben Hassine A |
| Journal | BULLETIN DES SCIENCES MATHEMATIQUES |
| Volume | 139 |
| Pagination | 75-113 |
| Date Published | FEB |
| Type of Article | Article |
| ISSN | 0007-4497 |
| Mots-clés | Jeu de taquin, Orthosymplectic Lie superalgebra, Quasistandard Young tableaux, Semistandard Young tableaux |
| Résumé | In this paper, we recall combinatorial basis for shape and reduced shape algebras of the Lie algebras gI(n), sp(2n) and so(2n + 1). They are given by semistandard and quasistandard tableaux. Then we generalize these constructions to the case of the Lie superalgebra spo(2n, 2m + 1). The main tool is an extension of Schutzenberger's jeu de taquin to these algebras. (C) 2014 Elsevier Masson SAS. All rights reserved. |
| DOI | 10.1016/j.bulsci.2014.08.004 |