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Affine Lie algebras and Hecke modular forms
Author(s):
V. G.
Kac;
D. H.
Peterson
Journal:
Bull. Amer. Math. Soc.
3
(1980),
1057-1061.
MSC (1980):
Primary 17B65, 10D12
MathSciNet review:
585190
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References:
- 1.
- M. Eichler, Introduction to the theory of algebraic numbers and functions, Academic Press, New York, 1966. MR 209258
- 2.
- A. Feingold and J. Lepowsky, The Weyl-Kac character formula and power series identities, Adv. in Math. 29 (1978), 271-309. MR 509801
- 3.
- I. B. Frenkel and V. G. Kac, Basic representations of affine Lie algebras and dual resonance models, Invent. Math. (to appear). MR 595581
- 4.
- E. Hecke, Über einen Zusammenhang zwischen elliptischen Modulfunktionen und indefiniten quadratischen Formen, Mathematische Werke, Vandenhoeck and Ruprecht, Göttingen, 1959, pp. 418-427.
- 5.
- V. G. Kac, Simple irreducible graded Lie algebras of finite growth, Math. USSR-Izvestija 2 (1968), 1271-1311. MR 259961
- 6.
- V. G. Kac, Infinite-dimensional Lie algebras and Dedekind's η-function, J. Functional Anal. Appl. 8 (1974), 68-70. MR 374210
- 7.
- V. G. Kac, Infinite-dimensional algebras, Dedekind's η-function, classical Möbius function and the very strange formula, Adv. in Math. 30 (1978), 85-136. MR 513845
- 8.
- V. G. Kac, An elucidation of "Infinite-dimensional algebras and the very strange formula". E, Adv. in Math. 35 (1980), 264-273. MR 563927
- 9.
- E. Looijenga, Root systems and elliptic curves, Invent. Math. 38 (1976), 17-32. MR 466134
- 10.
- R. V. Moody, A new class of Lie algebras, J. Algebra 10 (1968), 211-230. MR 229687
- 11.
- D. H. Peterson, Kostant-type partition functions (to appear).
- 12.
- V. G. Kac and D. H. Peterson (manuscript in preparation).
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Additional Information:
DOI:
10.1090/S0273-0979-1980-14854-5
PII:
S 0273-0979(1980)14854-5
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