A Hyperbolic Kac-Moody Algebra and the Theory of Siegel Modular Forms of Genus 2

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Table of Contents

  • Introduction
  • The Kac-Moody Algebra lY
  • Standard Representations and Characters of lY and Affine Subalgebra !Yo
  • The Construction of lY
  • Theta Series and the Space of SL2('.Z)-Invariant lY􀀕-Characters
  • Siegel Modular Forms and Hecke Operators
  • The Correspondence of iY-Characters with Siegel Modular Forms of Genus 2
  • Future Prospects

Publisher Attribution

Final version published in Mathematische Annalen, 263, 87 published by Springer-Verlag (1983). doi: doi:10.1007/BF01457086