dorsal/arxiv
View SchemaCrystals for Demazure Modules of Classical Affine Lie Algebras
| Authors | A. Kuniba, K. C. Misra, M. Okado, T. Takagi, J. Uchiyama |
|---|---|
| Categories | |
| ArXiv ID | q-alg/9707014 |
| URL | https://arxiv.org/abs/q-alg/9707014 |
Abstract
We study, in the path realization, crystals for Demazure modules of affine Lie algebras of types $A^{(1)}_n,B^{(1)}_n,C^{(1)}_n,D^{(1)}_n, A^{(2)}_{2n-1},A^{(2)}_{2n}, and D^{(2)}_{n+1}$. We find a special sequence of affine Weyl group elements for the selected perfect crystal, and show if the highest weight is $l\La_0$, the Demazure crystal has a remarkably simple structure.
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"date_created": "2026-03-02T18:01:28.010000Z",
"date_modified": "2026-03-02T18:01:28.010000Z",
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"abstract": "We study, in the path realization, crystals for Demazure modules of affine\nLie algebras of types $A^{(1)}_n,B^{(1)}_n,C^{(1)}_n,D^{(1)}_n,\nA^{(2)}_{2n-1},A^{(2)}_{2n}, and D^{(2)}_{n+1}$. We find a special sequence of\naffine Weyl group elements for the selected perfect crystal, and show if the\nhighest weight is $l\\La_0$, the Demazure crystal has a remarkably simple\nstructure.",
"arxiv_id": "q-alg/9707014",
"authors": [
"A. Kuniba",
"K. C. Misra",
"M. Okado",
"T. Takagi",
"J. Uchiyama"
],
"categories": [
"q-alg",
"math.QA"
],
"title": "Crystals for Demazure Modules of Classical Affine Lie Algebras",
"url": "https://arxiv.org/abs/q-alg/9707014"
},
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"variant": "snapshot-2026-03-01",
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