Kostant partition functions for affine Kac-Moody algebras

Kostant partition functions for affine Kac-Moody algebras

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 SUˆ(2) partition fun...

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Bibliographic Details
Main Authors: T. S. Santhanam, R. Chakrabarti
Format: Article
Language:English
Published: Hindawi Limited 1997-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Subjects:
affine Kac-Moody algebras
Kostant partition functions
weight-multiplicities
positive and simple roots
diophantine equations
Weyl group
Euler identity
Jacobi's triple and quintuple product identities
Tannery-Molk identity.
Online Access:http://dx.doi.org/10.1155/S0161171297000732

Internet

http://dx.doi.org/10.1155/S0161171297000732

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