## Demazure modules and graded limits of minimal affinizations

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- by Katsuyuki Naoi
- Represent. Theory
**17**(2013), 524-556 - DOI: https://doi.org/10.1090/S1088-4165-2013-00442-9
- Published electronically: October 28, 2013
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## Abstract:

For a minimal affinization over a quantum loop algebra of type $BC$, we provide a character formula in terms of Demazure operators and multiplicities in terms of crystal bases. We also prove the formula for the limit of characters conjectured by Mukhin and Young. These are achieved by verifying that its graded limit (a variant of a classical limit) is isomorphic to some multiple generalization of a Demazure module, and by determining the defining relations of the graded limit.## References

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## Bibliographic Information

**Katsuyuki Naoi**- Affiliation: University of Tokyo, Kavli Institute for the Physics and Mathematics of the Universe, 5-1-5 Kashiwanoha, Kashiwa, 277-8583 Japan
- Email: katsuyuki.naoi@ipmu.jp
- Received by editor(s): October 5, 2012
- Received by editor(s) in revised form: May 12, 2013, and June 17, 2013
- Published electronically: October 28, 2013
- © Copyright 2013
American Mathematical Society

The copyright for this article reverts to public domain 28 years after publication. - Journal: Represent. Theory
**17**(2013), 524-556 - MSC (2010): Primary 17B10, 17B37; Secondary 20G42
- DOI: https://doi.org/10.1090/S1088-4165-2013-00442-9
- MathSciNet review: 3120578