More on super-replication formulae

`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.
Publisher
ACADEMIC PRESS INC ELSEVIER SCIENCE
Issue Date
2005-08
Language
ENG
Keywords

LIE-SUPERALGEBRAS

Citation

JOURNAL OF ALGEBRA, v.290, no.2, pp.295 - 321

ISSN
0021-8693
DOI
10.1016/j.jalgebra.2005.05.007
URI
http://hdl.handle.net/10203/87763
Appears in Collection
MA-Journal Papers(저널논문)
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