KOSTANT PARTITION FUNCTIONS FOR AFFINE KAC-MOODY ALGEBRAS

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KOSTANT PARTITION FUNCTIONS FOR AFFINE KAC-MOODY ALGEBRAS

Santhanam, T. S.; Chakrabarti, R.

International Journal of Mathematics and Mathematical Sciences, 01/1997, Volume: 1997, Issue: 3

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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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Santhanam, T. S. | Chakrabarti, R.

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