Abstract
The central result of this chapter is the character formula for an integrable highest weight module L(Λ) over a Kac-Moody algebra, which plays a key role in further considerations. We also study the region of convergence of characters, prove a complete reducibility theorem and find a product decomposition for the “q-dimension” of L(Λ).KeywordsModule VersusCartan MatrixHigh Weight VectorCharacter FormulaHigh Weight ModuleThese keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
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