抄録
<jats:p>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.</jats:p>
収録刊行物
-
- Symmetry, Integrability and Geometry: Methods and Applications
-
Symmetry, Integrability and Geometry: Methods and Applications 2021-12-24
SIGMA (Symmetry, Integrability and Geometry: Methods and Application)