More on super-replication formulae
Number Theory
2007-05-23 v1
Abstract
We extend Norton-Borcherds-Koike's replication formulae to super-replicable ones by working with the congruence groups 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.
Cite
@article{arxiv.math/0411131,
title = {More on super-replication formulae},
author = {Chang Heon Kim and Ja Kyung Koo},
journal= {arXiv preprint arXiv:math/0411131},
year = {2007}
}
Comments
28 pages