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

DOI:
https://doi.org/10.1090/S0025-5718-03-01577-1

Published electronically:
May 23, 2003

MathSciNet review:
1986818

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Abstract | References | Similar Articles | Additional Information

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 and the sole existence of the Rogers-Ramanujan products in , , , , , , .

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Additional Information

**M. K. Bos**

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

Email:
mbos@stlawu.edu

DOI:
https://doi.org/10.1090/S0025-5718-03-01577-1

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