scholarly journals The Leading Coefficients for an Affine Weyl Group of Type G 2 ˜ : The Lowest Two-Sided Cell Case

2021 ◽  
Vol 2021 ◽  
pp. 1-13
Author(s):  
Pengfei Guo ◽  
Zhu-Jun Zheng
Keyword(s):  
Weyl Group ◽  
Affine Weyl Group ◽  
Lusztig Polynomials

This study focusses on the leading coefficients μ u , w of the Kazhdan–Lusztig polynomials P u , w for the lowest cell c 0 of an affine Weyl group of type G 2 ˜ and gives an estimation μ u , w ≤ 3 for u , w ∈ c 0 .

The affine Weyl group and modular invariant partition functions

1988 ◽  
Vol 205 (2-3) ◽  
pp. 281-284 ◽  
Author(s):  
D. Altschüler ◽  
J. Lacki ◽  
Ph. Zaugg
Keyword(s):  
Weyl Group ◽  
Partition Functions ◽  
Modular Invariant ◽  
Affine Weyl Group
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