Coding the principal character formula for affine Kac-Moody lie algebras

Bos, M.

doi:10.1090/S0025-5718-03-01577-1

Coding the principal character formula for affine Kac-Moody lie algebras
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Math. Comp. 72 (2003), 2001-2012 Request permission

Abstract:

In this paper, an algorithm for computing the principal character for affine Lie algebras is discussed and presented. The principal characters discovered using this program are given and/or proven. Results include level 2 and 3 character formulas in $A_{2n-1}^{(2)}$ and the sole existence of the Rogers-Ramanujan products in $A_1^{(1)}$, $A_2^{(1)}$, $A_2^{(2)}$, $C_3^{(1)}$, $F_4^{(1)}$, $G_2^{(1)}$, $A_7^{(2)}$.

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