International Journal of Mathematics and Mathematical Sciences 
Volume 24 (2000), Issue 1, Pages 11-27
doi:10.1155/S0161171200002751

The Kostant partition functions for twisted Kac-Moody algebras

Ranabir Chakrabarti1 and Thalanayar S. Santhanam2

 1Department of Theoretical Physics, University of Madras, Madras 600025, India
2Department of Physics, Parks College of Engineering and Aviation, Saint Louis University, Saint Louis 63103, Missouri, USA
Received 2 March 1998

Abstract

Employing the method of generating functions and making use of some infinite product identities like Euler, Jacobi's triple product and pentagon identities we derive recursion relations for Kostant's partition functions for the twisted Kac-Moody algebras.