More on super-replication formulae
Chang Heon Kim, Ja Kyung Koo
Abstract
We extend Norton-Borcherds-Koike's replication formulae to super-replicable ones by working with the congruence groups Γ1(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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