An application of TQFT to modular representation theory

• 成果类型: Article
• 署名作者: Gilmer, Patrick M.; Masbaum, Gregor
• 署名单位: Louisiana State University System; Louisiana State University; Centre National de la Recherche Scientifique (CNRS); CNRS - National Institute for Mathematical Sciences (INSMI); Universite Paris Cite
• 刊物名称: INVENTIONES MATHEMATICAE
• ISSN/ISSBN: 0020-9910
• DOI: 10.1007/s00222-017-0734-4
• 发表日期: 2017
• 页码: 501-530
• 关键词: symplectic group; INVARIANTS

摘要

For a prime, and an integer, we use Topological Quantum Field Theory (TQFT) to study a family of highest weight modules for the symplectic group where K is an algebraically closed field of characteristic p. This permits explicit formulae for the dimension and the formal character of for these highest weights.