仿射晶体、一维和与抛物型Lusztig q-模拟
Affine crystals, one-dimensional sums and parabolic Lusztig q-analogues
摘要：
本文研究了经典仿射型的一维和。我们证明了一个猜想的第三作者和Zabrocki显示他们都分解的一维款项有关的仿射型A提供的秩的根系考虑是足够大的。因此，任何一维和与一个经典的仿射根系具有足够大的秩可以被视为一个抛物Lusztig q-模拟。
英文摘要：
This paper is concerned with one-dimensional sums in classical affine types. We prove a conjecture of the third author and Zabrocki 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. As a consequence, any one-dimensional sum associated to a classical affine root system with sufficiently large rank can be regarded as a parabolic Lusztig q-analogue.
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