Abstract
In 1964, Antoine and Speiser published succinct and elegant formulae for the characters of the irreducible highest weight modules for the Lie algebras A 2 and B 2. (The result for A 2 may have been known as early as 1957.) These can be derived from a recursive formula for characters valid for all simple complex Kac-Moody Lie algebras for which the Weyl-Kac character formula holds.
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