More on super-replication formulae

2004/11/06 by Chang Heon Kim, Kim, Chang Heon, Ja Kyung Koo +1
Mathematics · #11F03 #11F22 #FOS: Mathematics #Number Theory (math.NT) #math.NT #msc:11F03 #msc:11F22

paper · pdf · doi:10.48550/arxiv.math/0411131

28 pages

arxiv created 2004/11/06 · arxiv updated 2009/12/01

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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