PBW Bases and Marginally Large Tableaux in Types B and C
Canadian mathematical bulletin, Tome 62 (2019) no. 1, pp. 37-54

Voir la notice de l'article provenant de la source Cambridge University Press

We explicitly describe the isomorphism between two combinatorial realizations of Kashiwara’s infinity crystal in types B and C. The first realization is in terms of marginally large tableaux and the other is in terms of Kostant partitions coming from PBW bases. We also discuss a stack notation for Kostant partitions which simplifies that realization.
DOI : 10.4153/CMB-2017-071-1
Mots-clés : crystal, Kostant partition, Lusztig data, marginally large tableau
Criswell, Jackson A.; Salisbury, Ben; Tingley, Peter. PBW Bases and Marginally Large Tableaux in Types B and C. Canadian mathematical bulletin, Tome 62 (2019) no. 1, pp. 37-54. doi: 10.4153/CMB-2017-071-1
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