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arXiv math/0411131math.NT
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关于超级复制公式的更多信息

More on super-replication formulae

Chang Heon Kim, Ja Kyung Koo

摘要:

利用同余群$Γ_1(N)$,将Norton-Borcherds-Koike的复制公式推广到超复制公式,并找到了刻画超复制函数的乘积恒等式.这将为构造某些新的无穷维李超代数提供线索,这些李超代数的分母恒等式与上述乘积恒等式一致。因此,它可能是一种方法,以找到之间的联系模函数和无限维李代数。

英文摘要:

We extend Norton-Borcherds-Koike's replication formulae to super-replicable ones by working with the congruence groups $Γ_1(N)$ 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.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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