PBW bases and marginally large tableaux in types B and C
Peter W. Tingley,
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.
crystal, Kostant partition, Lusztig data, marginally large tableau
05E10 - Combinatorial aspects of representation theory [See also 20C30]
17B37 - Quantum groups (quantized enveloping algebras) and related deformations [See also 16T20, 20G42, 81R50, 82B23]