Affine crystals, one-dimensional sums and parabolic Lusztig \(q\)-analogues (Q444199)
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scientific article; zbMATH DE number 6065394
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Affine crystals, one-dimensional sums and parabolic Lusztig \(q\)-analogues |
scientific article; zbMATH DE number 6065394 |
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Affine crystals, one-dimensional sums and parabolic Lusztig \(q\)-analogues (English)
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13 August 2012
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This paper is concerned with one-dimensional sums in classical affine types. The authors prove a conjecture of \textit{M. Shimozono} and \textit{M. ZabrockI} [J. Algebra 299, No. 1, 33--61 (2006; Zbl 1122.17018)] by showing they all decompose in terms of one-dimensional sums related to affine type \(A\) provided the rank of the root system considered is sufficiently large.
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one-dimensional sums
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Kirillov-Reshetikhin crystals
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affine root system
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Dynkin automorphisms
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affine highest weight crystals
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