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arXiv 1003.3948math.QAmath.COmath.RT
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内能是一个循环舒尔函数

Intrinsic energy is a loop Schur function

Thomas Lam, Pavlo Pylyavskyy

摘要:

对于U_q '(\hat sl_n)的标准表示的对称幂,我们给出了Kirillov-Reshetikhin晶体张量积中能量函数的显式无减公式.的能量函数被证明是一个拉伸的阶梯形圈舒尔函数的热带化。后者是作者在研究循环群的总正性时引入的。

英文摘要:

We give an explicit subtraction-free formula for the energy function in tensor products of Kirillov-Reshetikhin crystals for symmetric powers of the standard representation of U_q'(\hat sl_n). The energy function is shown to be the tropicalization of a stretched staircase shape loop Schur function. The latter were introduced by the authors in the study of total positivity in loop groups.

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