JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2024, Vol. 59 ›› Issue (12): 31-39.doi: 10.6040/j.issn.1671-9352.0.2023.187

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Some Kazhdan-Lusztig coefficients for an affine Weyl group of type( ~)/C 3

WANG Yulu, WANG Liping*, HE Houzhi   

  1. School of Science, Beijing University of Civil Engineering and Architecture, Beijing 100044, China
  • Published:2024-12-12

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Abstract: In the study of the nonlocal finiteness of W-graph, Lusztig introduced a system of semi-linear equations related to the Kazhdan-Lusztig coefficients μ(y,w). We analyze the basic structure of the affine Weyl group of type( ~)/C 3, and uses the properties of the semi-linear equation system to compute the full correlation aλ,λ'. Then it derives some bλ,λ″ and the corresponding Kazhdan-Lusztig coefficients.

Key words: affine Weyl group, semi-linear equation system, Kazhdan-Lusztig coefficient

CLC Number: 

  • O152
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