More on super-replication formulae

Abstract

`We extend Norton-Borcherds-Koike's replication formulae to super-replicable ones by working with the congruence groups Gamma(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. (c) 2005 Published by Elsevier Inc.