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Santhanam, T. S.; Chakrabarti, R.
International Journal of Mathematics and Mathematical Sciences, 01/1997, Volume: 1997, Issue: 3Journal Article
Employing the method of generating functions in conjunction with various number-thoretic identities, we obtain recursion relations for the Kostant partition functions for the affine Kac-Moody algebras The partition functions for the higher rank algebras are expressed in terms of SU (2) partition functions. We derive certain number-theoretic identities using the equivalence of our result with the expressions derived by Kac and Peterson.
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