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More on super-replication formulae

Chang Heon Kim·Ja Kyung Koo
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Abstract

We extend Norton-Borcherds-Koike's replication formulae to super-replicable ones by working with the congruence groups $Γ_1(N)$ and find the product identities which characterize super-replicable functions. These will provide a clue for constructing certain new infinite dimensional Lie superalgebras whose denominator identities coincide with the above product identities. Therefore it could be one way to find a connection between modular functions and infinite dimensional Lie algebras.

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Chang Heon Kim, Ja Kyung Koo. 2004-11-06. More on super-replication formulae. https://arxiv.org/abs/math/0411131

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