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Lie Algebras and Related Topics pp 166–175Cite as

Affine lie algebras and theta-functions

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Part of the book series: Lecture Notes in Mathematics ((LNM,volume 933))

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References

  1. Bernshtein, I. N., Shvartsman, O. V.: Chevalley’s theorem for complex crystallographic Coxeter groups. J. Functional Anal. Appl. 12 (1978), 79–80.

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  2. Gabber, O., Kac, V. G.: On defining relations of certain infinite-dimensional Lie algebras. Bull. Amer. Math. Soc. 5 (1981), 185–190.

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  3. Kac, V. G.: Infinite-dimensional algebras, Dedekind’s η-function, classical Möbius function and the very strange formula. Adv. in Math. 30 (1978), 85–136.

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  4. Kac, V. G., Peterson, D. H.: Affine Lie algebras and Hecke modular forms. Bull. Amer. Math. Soc. 2 (1980), 311–314.

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  5. Kac, V. G., Peterson, D. H.: Infinite-dimensional Lie algebras, theta functions and modular forms (to appear).

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  6. Lepowsky, J.: Generalized Verma modules, loop space cohomology and Macdonald-type identities. Ann. Sci. Ecole Norm. Sup. 12 (1979), 169–234.

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  7. Peterson, D. H.: Kostant-type partition functions (to appear).

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  8. Peterson, D. H.: On Chevalley’s theorem for affine Lie algebras (to appear).

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  9. Peterson, D. H.: A class of identities connecting definite and indefinite quadratic forms (to appear).

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  10. Peterson, D. H.: Freudenthal-type formulas for root and weight multiplicities (manuscript).

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Authors and Affiliations

  1. University of Michigan, 48109, Ann Arbor, MI

    Dale H. Peterson

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  1. Dale H. Peterson
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David Winter

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© 1982 Springer-Verlag

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Peterson, D.H. (1982). Affine lie algebras and theta-functions. In: Winter, D. (eds) Lie Algebras and Related Topics. Lecture Notes in Mathematics, vol 933. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0093360

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  • DOI: https://doi.org/10.1007/BFb0093360

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-11563-2

  • Online ISBN: 978-3-540-39262-0

  • eBook Packages: Springer Book Archive

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