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An algorithm for computing root multiplicities in Kac-Moody algebras

Year: 2019
Type: preprint
Abstract: Root multiplicities encode information about the structure of Kac-Moody algebras, and appear in applications as far-reaching as string theory and the theory of modular functions. We provide an algorithm based on the Peterson recurrence formula to compute multiplicities, and argue that it is more efficient than the naive algorithm.
Language: English
Open Access status: green
OpenAlex ID: W2995839173
Cites: 4
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Related to: 20