Kazhdan-Lusztig coefficients for the lowest two-sided cell of type G₂

2013/10/28 by Guo, Peng-Fei, Ma, Hai-Tao, Zheng, Zhu-Jun
#FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.1310.7347

Abstract

This paper studies the Kazhdan-Lusztig coefficients μ(u,w) of the Kazhdan-Lusztig polynomials P_u,w for the lowest cell c₀ of an affine Weyl group of type \widetildeG₂ and gives an estimation μ(u,w)\leqslant 3 for u,w∈ c₀.

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