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Mathematics of Computation

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

Author: M. K. Bos
Journal: Math. Comp. 72 (2003), 2001-2012
MSC (2000): Primary 17B67, 17B10
Published electronically: May 23, 2003
MathSciNet review: 1986818
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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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Additional Information

M. K. Bos
Affiliation: Department of Mathematics, St. Lawrence University, Canton, New York 13617

Keywords: Affine Lie algebra, principal character
Received by editor(s): October 3, 1999
Received by editor(s) in revised form: March 27, 2002
Published electronically: May 23, 2003
Article copyright: © Copyright 2003 American Mathematical Society