3 papers
math.RT2021
Monstrous Moonshine for integral group rings
Scott Carnahan, Satoru Urano
We propose a conjecture that is a substantial generalization of the genus zero assertions in both Monstrous Moonshine and Modular Moonshine. Our conjecture essentially asserts that…
math.RT2020
A Composite Order Generalization of Modular Moonshine
Satoru Urano
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 Tat…
math.RT2017
Characterizing Moonshine Functions by Vertex-Operator-Algebraic Conditions
Scott Carnahan, Takahiro Komuro, Satoru Urano
Given a holomorphic -cofinite vertex operator algebra with graded dimension , Borcherds's proof of the monstrous moonshine conjecture implies any finite order autom…