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Symmetry, Integrability and Geometry: Methods and Applications, 2021, Volume 17, 110, 15 pp.
DOI: https://doi.org/10.3842/SIGMA.2021.110 (Mi sigma1792) 		 
This article is cited in 1 scientific paper (total in 1 paper)

A Composite Order Generalization of Modular Moonshine

Satoru Urano

Division of Mathematics, University of Tsukuba, 1-1-1 Tennoudai, Tsukuba, Ibaraki 305-8571 Japan
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DOI: https://doi.org/10.3842/SIGMA.2021.110
Abstract: 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 Borcherds about vanishing of Tate cohomology for Fricke elements of the Monster.
Keywords: moonshine, modular function, Brauer character, vertex operator algebra.
Received: March 31, 2021; in final form December 21, 2021; Published online December 24, 2021
Bibliographic databases:
Document Type: Article
MSC: 11F22, 11F85, 17B69, 20C11, 20C20
Language: English
Citation: Satoru Urano, “A Composite Order Generalization of Modular Moonshine”, SIGMA, 17 (2021), 110, 15 pp.
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Symmetry, Integrability and Geometry: Methods and Applications
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