Integrable highest weight modules: the character formula
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 Versus Cartan Matrix High Weight Vector Character Formula High Weight Module
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Bibliographical notes and comments
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