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Conformal characters and theta series
Authors:W. Eholzer  N. P. Skoruppa
Affiliation:(1) Max-Planck-Institut für Mathematik Bonn, Gottfried-Claren-Strasse 26, 53225 Bonn, Germany;(2) UFR de Mathématiques et Informatique, Université Bordeaux I, 351 rue de la Libération, 33405 Talence, France
Abstract:
We describe the construction of vector-valued modular forms transforming under a given congruence representation of the modular group SL(2, Zopf) in terms of theta series. We apply this general setup to obtain closed and easily computable formulas for conformal characters of rational models ofW-algebras.
Keywords:11F03  11F27  81R10
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