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

Authors:	M K Bos

Institution:	Department of Mathematics, St. Lawrence University, Canton, New York 13617

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 $A_1^{(1)}$ , $A_2^{(1)}$ , $A_2^{(2)}$ , $C_3^{(1)}$ , $F_4^{(1)}$ , $G_2^{(1)}$ , $A_7^{(2)}$ .

Keywords:	Affine Lie algebra principal character

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