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Letters in Mathematical Physics

, Volume 35, Issue 3, pp 197–211 | Cite as

Conformal characters and theta series

  • W. Eholzer
  • N. P. Skoruppa
Article

Abstract

We describe the construction of vector-valued modular forms transforming under a given congruence representation of the modular group SL(2, ℤ) 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.

Mathematics Subject Classifications (1991)

11F03 11F27 81R10 

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Copyright information

© Kluwer Academic Publishers 1995

Authors and Affiliations

  • W. Eholzer
    • 1
  • N. P. Skoruppa
    • 2
  1. 1.Max-Planck-Institut für Mathematik BonnBonnGermany
  2. 2.UFR de Mathématiques et InformatiqueUniversité Bordeaux ITalenceFrance

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