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Pinnacles for complex reflection groups

delete2026-10-01
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OA
AI
B
Burnham-Schmidt, Aaron
G
Gonzalez, Nicolle *
DOI:10.1016/j.disc.2026.115222delete
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摘要

摘要

En 中文
我们研究、表征和枚举非例外复反射群G(m,p,n)的可允许顶点集,其中包括所有广义对称群Z(m)(sic)S_n作为特例。这推广了Davis-Nelson-Petersen-Tenner关于对称群S_n以及Gonzalez-Harris-Rojas Kirby-Smit Vega Garcia-Tenner关于符号对称群Z(2)(sic)S_n的工作。作为结果,我们证明了Gonzalez-Harris-Rojas Kirby-Smit Vega Garcia-Tenner关于符号排列的顶点的猜想。(c) 2026 The Authors. Published by Elsevier B.V. This is an open access article under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).
Keyword:
Enumeration of permutation statistics
Pinnacle sets
Complex reflection groups
Generalized symmetric group
Peak sets

期刊

D
Discrete Mathematics
IF:
0.9
论文数:
292
被引数:
0

机构

U
university of california berkeley
学者数:
1.4K
论文数: 811
被引数: 0
University of California System 封面图
University of California System
学者数:
37.7W
论文数: 33.8W
被引数: 6.6K
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