论文标题
模块化月光的复合阶概括
A Composite Order Generalization of Modular Moonshine
论文作者
论文摘要
我们引入了Brauer字符的概括,以允许在离散评估环上进行任意有限长度模块。我们表明,TATE共同体的广义超级宣传性特征是痕量函数的线性组合。使用此结果,我们发现了一个猜想的borcherds的反例,这些borcherds tate Coomology在怪物元素中消失了。
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.