Character levels and character bounds for finite classical groups

• 成果类型: Article; Early Access
• 署名作者: Guralnick, Robert M.; Larsen, Michael; Tiep, Pham Huu
• 署名单位: University of Southern California; Indiana University System; Indiana University Bloomington; Rutgers University System; Rutgers University New Brunswick
• 刊物名称: INVENTIONES MATHEMATICAE
• ISSN/ISSBN: 0020-9910
• DOI: 10.1007/s00222-023-01221-5
• 发表日期: 2023
• 关键词: cross characteristic representations; weil representations; symmetric-groups

摘要

The main results of the paper develop a level theory and establish strong character bounds for finite classical groups, in the case that the centralizer of the element has small order compared to vertical bar G vertical bar in a logarithmic sense.