Title

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

Authors

Alex J. Feingold, Binghamton University--SUNYFollow
Igor B. Frenkel, Yale University
Alex J. Feingold

Document Type

Article

Publication Date

1983

Comments

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

Recommended Citation

Feingold, Alex J.; Frenkel, Igor B.; and Feingold, Alex J., "A Hyperbolic Kac-Moody Algebra and the Theory of Siegel Modular Forms of Genus 2" (1983). Mathematical Sciences Faculty Scholarship. 5.
https://orb.binghamton.edu/mathematics_fac/5