| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 9493129 | Journal of Algebra | 2005 | 27 Pages |
Abstract
We extend Norton-Borcherds-Koike's replication formulae to super-replicable ones by working with the congruence groups Î1(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.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Chang Heon Kim, Ja Kyung Koo,