Integrable highest weight modules over affine Lie algebras. Application to η-function identities
Part of the Progress in Mathematics book series (PM, volume 44)
In the last three chapters we developed a representation theory of arbitrary Kac-Moody algebras. From now on we turn to the special case of affine Lie algebras.
KeywordsModular Form Weyl Group Theta Function High Weight Module String Function
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Bibliographical notes and comments
- Kac, V. G., Peterson, D. H. [1983 A] Infinite dimensional Lie algebras, theta functions and modular forms, Advances in Math., 50 (1983).Google Scholar
- Goodman, R., Wallach, N.  Structure and unitary cocycle representations of loop groups and the group of diffeomorphisms of the circle, preprint.Google Scholar
© Springer Science+Business Media New York 1983