Stability of the centers of the symplectic group rings Z[Sp2n(q)]
Yükleniyor...
Tarih
2021
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Academic Press Inc.
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
We investigate the structure constants of the center Hn of the group algebra Z[Spn(q)] over a finite field. The reflection length on the group GL2n(q) induces a filtration on the algebras Hn. We prove that the structure constants of the associated graded algebra Sn are independent of n. As tool in the proof we consider the embedding Spm?Spn(q) and determine the behavior of the centralizers and intersection of centralizers under the embedding Spm?Spn(q). We determine explicit formulas for rate of the growth of the centralizer of an element U?Spm(q) in terms of dimension of the fixed space of U.
Açıklama
Anahtar Kelimeler
Farahat-Higman Rings, Growth of Centralizers, Spn-Conjugacy Classes, Structure Constants
Kaynak
Journal of Algebra
WoS Q Değeri
Q3
Scopus Q Değeri
Q1
Cilt
572
Sayı
Künye
Özden, Ş. (2020). Stability of the centers of the symplectic group rings Z [Sp2n (q)]. Journal of Algebra.
