A Composite Order Generalization of Modular Moonshine

• Veröffentlicht in: Symmetry, Integrability and Geometry: Methods and Applications
• Datum: 2021
• ISSN: 1815-0659
• 1. Verfasser: Urano, Satoru
• Format: Artikel
• Sprache: Englisch
• Veröffentlicht: Інститут математики НАН України 2021
• Online Zugang: https://nasplib.isofts.kiev.ua/handle/123456789/211417
• Назва журналу: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Zitieren: A Composite Order Generalization of Modular Moonshine. Satoru Urano. SIGMA 17 (2021), 110, 15 pages

We introduce a generalization of Brauer character to allow arbitrary finite-length modules over discrete valuation rings. We show that the generalized super Brauer character of Tate cohomology is a linear combination of trace functions. Using this result, we find a counterexample to a conjecture of...