Mathematics of Computation

Author(s): M. K. Bos.
Journal: Math. Comp. 72 (2003), 2001-2012.
MSC (2000): Primary 17B67, 17B10
Posted: May 23, 2003
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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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