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https://hdl.handle.net/10316/108065
Title: | (2+)-replication and the Baby Monster | Authors: | Cummins, Chris Matias, Rodrigo |
Keywords: | moonshine; baby monster; replication | Issue Date: | 3-Oct-2017 | Publisher: | Department of Applied Research, Institute of Mathematics of National Academy of Science of Ukraine | Project: | info:eu-repo/grantAgreement/UID/MAT/00324/2013 | Serial title, monograph or event: | Symmetry, Integrability and Geometry: Methods and Applications (SIGMA) | Volume: | 14 | Abstract: | The definitions of replicable and completely replicable functions are intimately related to the Hecke operators for the modular group. We define the notions of "$(2+)$-replicable" and "completely $(2+)$-replicable" functions by considering the Hecke operators for $\Gamma_0(2)^+$. We prove that the McKay-Thompson series for $2\cdot\mathbb{B}$, as computed by H\"ohn, are completely $(2+)$-replicable. | URI: | https://hdl.handle.net/10316/108065 | ISSN: | 18150659 | DOI: | 10.3842/SIGMA.2018.060 | Rights: | openAccess |
Appears in Collections: | FCTUC Matemática - Artigos em Revistas Internacionais |
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2Replication-and-the-Baby-MonsterSymmetry-Integrability-and-Geometry-Methods-and-Applications-SIGMA.pdf | 517.35 kB | Adobe PDF | View/Open |
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