Conformal Characters and Theta Series

Details Conformal Characters and Theta Series Conformal Characters and Theta Series

1994-11-11

arxiv.org/abs/math/9411214v1

Mathematics

Number Theory

Scientific paper

10.1007/BF00761292

We describe the construction of vector valued modular forms transforming
under a given congruence representation of the modular group SL$(\bold Z)$ in
terms of theta series. We apply this general setup to obtain closed and easily
computable formulas for conformal characters of rational models of
$W$-algebras.

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