A Composite Order Generalization of Modular Moonshine
Keyword(s):
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.
2010 ◽
Vol 175
(1)
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pp. 391-420
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1974 ◽
Vol 26
(5)
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pp. 1186-1191
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Keyword(s):
2019 ◽
Vol 56
(2)
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pp. 260-266
1971 ◽
Vol 28
(2)
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pp. 381-381
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1966 ◽
Vol 31
(1)
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pp. 59-64
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2018 ◽
Vol 61
(2)
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pp. 343-362
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2005 ◽
Vol 15
(05n06)
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pp. 997-1012
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