A hyperbolic Kac-Moody algebra and the theory of Siegel modular forms of genus 2

Mathematische Annalen

Volumn 263, Issue 1, 1983, Pages 87-144

  Feingold, Alex J ^a   Frenkel, Igor B ^b  

^a BINGHAMTON UNIVERSITY   (United States)

^b YALE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0001910543     PISSN: 00255831     EISSN: 14321807     Source Type: Journal    
DOI: 10.1007/BF01457086     Document Type: Article

References (43)

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3. A hyperbolic GCM Lie algebra and the Fibonacci numbers
4. Tensor products of certain modules for the generalized Cartan matrix Lie algebra A11
5. The Weyl-Kac character formula and power series identities
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7. Two constructions of affine Lie algebra representations and boson-fermion correspondence in quantum field theory
8. Basic representations of affine Lie algebras and dual resonance models
9. On defining relations of certain infinite-dimensional Lie algebras
10. Lie algebra homology and the Macdonald-Kac formulas
11. On Siegel modular forms of genus two
12. Simple irreducible graded Lie algebras of finite growth
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14. Infinite-dimensional algebras, Dedekind's η-function, classical Mobius function, and the very strange formula
15. Realization of the basic representations of the Euclidean Lie algebras
16. Affine Lie algebras and Hecke modular forms
17. Infinite dimensional simple graded Lie algebras
18. Modular forms of half-integral weight on Γ0(4)
19. An arithmetic of Hermitian modular forms of degree two
20. Examples of eigenvalues of Hecke operators on Siegel cusp forms of degree two
21. Lie algebraic approaches to classical partition identities
22. Hyperbolic Lie algebras and quasi-regular cusps on Hilbert modular surfaces
23. Construction of the affine Lie algebra A11
24. Root systems and elliptic curves
25. Die Fourierkoeffizienten der Eisensteinreihen zweiten Grades
26. Über die Fourierkoeffizienten der Eisensteinreihen zweiten Grades
27. Lineare Relationen für die Fourierkoeffizienten einiger Modulformen zweiten Grades
28. Über eine Spezialschar von Modulformen zweiten Grades
29. Über eine Spezialschar von Modulformen zweiten Grades. II
30. Über eine Spezialschar von Modulformen zweiten Grades. III
31. Affine root systems and Dedekind's η-function
32. Root systems of hyperbolic type
33. Lie algebra multiplicities
34. Zur analytischen Theorie der Grenzkreisgruppen. II
35. Some properties of Fourier coefficients of Eisenstein series of degree two