A Composite Order Generalization of Modular Moonshine

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2021
• Main Author: Urano, Satoru
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2021
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/211417
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: 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...