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Generalized Twisted Quantum Doubles and the McKay Correspondence
Geoffrey Mason, Christopher Goff
We consider a class of quasi-Hopf algebras which we call \emph{generalized twisted quantum doubles}. They are abelian extensions $H = \mb{C}[\bar{G}] \bowtie \mb{C}[G]$ ( is a f…
Logarithmic vector-valued modular forms
Marvin Knopp, Geoffrey Mason
We consider logarithmic vector- and matrix-valued modular forms of integral weight associated with a -dimensional representation o…
Vertex Operators and Modular Forms
Geoffrey Mason, Michael P. Tuite
The leitmotif of these Notes is the idea of a vertex operator algebra (VOA) and the relationship between VOAs and elliptic functions and modular forms. This is to some extent analo…
Structure of the module of vector-valued modular forms
Christopher Marks, Geoffrey Mason
Let be a representation of the modular group of dimension . We show that the -graded space of holomorphic vector-valued modular forms associ…