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

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DOI

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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     author = {Criswell, Jackson A. and Salisbury, Ben and Tingley, Peter},
     title = {PBW {Bases} and {Marginally} {Large} {Tableaux} in {Types} {B} and {C}},
     journal = {Canadian mathematical bulletin},
     pages = {37--54},
     year = {2019},
     volume = {62},
     number = {1},
     doi = {10.4153/CMB-2017-071-1},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2017-071-1/}
}
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