Explicit description of the degree function in terms of quantum Lakshmibai-Seshadri paths

Explicit description of the degree function in terms of quantum Lakshmibai-Seshadri paths
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用量子 Lakshmibai-Seshadri 路径明确描述度函数

DOI:
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发表时间:
2015
期刊:
arXiv: Quantum Algebra
影响因子:
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通讯作者:
M. Shimozono
M. Shimozono
中科院分区:
--
文献类型:
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作者:
Cristian Lenart;S. Naito;Daisuke Sagaki;A. Schilling;M. Shimozono

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根据抛物量子Bruhat图,我们给出了量子Lakshmibai-Seshadri路径定义的度函数的显式和可计算的描述,或者等效地,为“投影”(仿射)零级Lakshmibai-Seshadri路径定义的度函数。这反过来又给出了Kirillov-Reshetikhin晶体的一列型张量积上的整体能量函数的显式和可计算的描述,以及(经典限制的)一维和。
We give an explicit and computable description, in terms of the parabolic quantum Bruhat graph, of the degree function defined for quantum Lakshmibai-Seshadri paths, or equivalently, for "projected" (affine) level-zero Lakshmibai-Seshadri paths. This, in turn, gives an explicit and computable description of the global energy function on tensor products of Kirillov-Reshetikhin crystals of one-column type, and also of (classically restricted) one-dimensional sums.
与零级基本表示相关的零级形状和一维和的 Lalshmibai-Seshadri 路径
DOI: --
发表时间: 2008
期刊: Compos. Math
影响因子: --
作者:
Matsui M;et al;S. Naito and D. Sagaki
通讯作者: S. Naito and D. Sagaki