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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
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
Citation:
Satoru Urano, “A Composite Order Generalization of Modular Moonshine”, SIGMA, 17 (2021), 110, 15 pp.
Linking options:
https://www.mathnet.ru/eng/sigma1792 https://www.mathnet.ru/eng/sigma/v17/p110
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Abstract page: | 47 | Full-text PDF : | 16 | References: | 11 |
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