HIGHLIGHTS
- who: PBW basis et al. from the FPSAC , Vancouver, Canada Department of Mathematics, Central Michigan University, Mount Pleasant, MI, USA have published the research: Combinatorial descriptions of the crystal structure on certain PBW bases, in the Journal: (JOURNAL)
SUMMARY
As discussed, this is precisely Lusztig's crystal_structure for the reduced expression w0=(s1 s2 · · · sn )(s1 s2 · · · sn-1 ) · · · (s1 s2 )s1. The authors give a set of conditions on a reduced expression that ensure Lusztig's crystal_structure on Kostant partitions is given by a simple bracketing procedure, similar to the type This . . .
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