Stability of the centers of group algebras of GL(n)(q)
Stability of the centers of group algebras of GL(n)(q)
复制标题
GL(n)(q)群代数中心的稳定性
DOI：
10.1016/j.aim.2019.04.026
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发表时间：
2019
影响因子：
1.7
通讯作者：
Wang Weiqiang
中科院分区：
文献类型：
--
作者：
Wan Jinkui;Wang Weiqiang
The center Z n (q) of the integral group algebra of the general linear group G L n (q) over a finite field admits a filtration with respect to the reflection length. We show that the structure constants of the associated graded algebras G n (q) are independent of n, and this stability leads to a universal stable center with positive integer structure constants which governs the algebras G n (q) for all n. Various structure constants of the stable center are computed and several conjectures are formulated. Analogous stability properties for symmetric groups and wreath products were established earlier by Farahat-Higman and the second author.
