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).
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Bibliographical notes and comments
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Kac, V.G. (1983). Integrable highest weight modules: the character formula. In: Infinite Dimensional Lie Algebras. Progress in Mathematics, vol 44. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4757-1382-4_10
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DOI: https://doi.org/10.1007/978-1-4757-1382-4_10
Publisher Name: Birkhäuser, Boston, MA
Print ISBN: 978-1-4757-1384-8
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