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Preprint
The DARK side of generalized Demazure crystals
arXiv (Cornell University)
09 Jul 2020
Abstract
Naoi showed that tensor products of perfect Kirillov-Reshetikhin crystals are
isomorphic to certain generalized Demazure crystals. We extend Naoi's results
to address distinguished subsets of these tensor products. In type A, these are
naturally described in terms of katabolizable tableaux which was key to
resolving conjectures of Shimozono-Weyman and Chen-Haiman in arXiv:2007.04952.
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Details
- Title
- The DARK side of generalized Demazure crystals
- Creators
- Jonah Blasiak
- Publication Details
- arXiv (Cornell University)
- Resource Type
- Preprint
- Language
- English
- Academic Unit
- Mathematics
- Other Identifier
- 991021862256704721