E 型量子仿射代数的第 1 级不可还原最高权重和 Fock 空间晶体的杨墙变现

IF 0.8 2区 数学 Q2 MATHEMATICS
Duncan Laurie
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引用次数: 0

摘要

我们为 E6(1)、E7(1) 和 E8(1) 型量子仿射代数的一级不可还原最高权重表示和 Fock 空间表示的晶体基构建了杨墙模型。在每种情况下,杨墙都由堆叠在相关杨墙图案内的彩色块组成,这些彩色块满足一定的组合条件。此外,晶体结构完全是通过添加和移除色块来描述的。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Young wall realizations of level 1 irreducible highest weight and Fock space crystals of quantum affine algebras in type E

We construct Young wall models for the crystal bases of level 1 irreducible highest weight representations and Fock space representations of quantum affine algebras in types E6(1), E7(1) and E8(1). In each case, Young walls consist of coloured blocks stacked inside the relevant Young wall pattern which satisfy a certain combinatorial condition. Moreover the crystal structure is described entirely in terms of adding and removing blocks.

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来源期刊
Journal of Algebra
Journal of Algebra 数学-数学
CiteScore
1.50
自引率
22.20%
发文量
414
审稿时长
2-4 weeks
期刊介绍: The Journal of Algebra is a leading international journal and publishes papers that demonstrate high quality research results in algebra and related computational aspects. Only the very best and most interesting papers are to be considered for publication in the journal. With this in mind, it is important that the contribution offer a substantial result that will have a lasting effect upon the field. The journal also seeks work that presents innovative techniques that offer promising results for future research.
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