(2+)-Replication and the Baby Monster
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 Γ₀(2)+. We prove tha...
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| Veröffentlicht in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Datum: | 2018 |
| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | Englisch |
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Інститут математики НАН України
2018
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/209512 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | (2+)-Replication and the Baby Monster / C. Cummins, R. Matias // Symmetry, Integrability and Geometry: Methods and Applications. — 2018. — Т. 14. — Бібліогр.: 25 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862708037060395008 |
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| author | Cummins, C. Matias, R. |
| author_facet | Cummins, C. Matias, R. |
| citation_txt | (2+)-Replication and the Baby Monster / C. Cummins, R. Matias // Symmetry, Integrability and Geometry: Methods and Applications. — 2018. — Т. 14. — Бібліогр.: 25 назв. — англ. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | 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 Γ₀(2)+. We prove that the McKay-Thompson series for 2⋅B, as computed by Höhn, is completely (2+)-replicable.
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| first_indexed | 2025-12-07T17:09:15Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-209512 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-12-07T17:09:15Z |
| publishDate | 2018 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Cummins, C. Matias, R. 2025-11-24T10:03:41Z 2018 (2+)-Replication and the Baby Monster / C. Cummins, R. Matias // Symmetry, Integrability and Geometry: Methods and Applications. — 2018. — Т. 14. — Бібліогр.: 25 назв. — англ. 1815-0659 2010 Mathematics Subject Classification: 11F22; 11F25 arXiv: 1710.01071 https://nasplib.isofts.kiev.ua/handle/123456789/209512 https://doi.org/10.3842/SIGMA.2018.060 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 Γ₀(2)+. We prove that the McKay-Thompson series for 2⋅B, as computed by Höhn, is completely (2+)-replicable. The authors would like to thank the referees for their valuable comments and suggestions to improve the quality of the paper. The second author acknowledges financial assistance from the Center for Mathematics of the University of CoimbraUID/MAT/00324/2013, funded by the Portuguese Government through FCT/MCTES and co-funded by the European Regional Development Fund through the Partnership Agreement PT2020. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications (2+)-Replication and the Baby Monster Article published earlier |
| spellingShingle | (2+)-Replication and the Baby Monster Cummins, C. Matias, R. |
| title | (2+)-Replication and the Baby Monster |
| title_full | (2+)-Replication and the Baby Monster |
| title_fullStr | (2+)-Replication and the Baby Monster |
| title_full_unstemmed | (2+)-Replication and the Baby Monster |
| title_short | (2+)-Replication and the Baby Monster |
| title_sort | (2+)-replication and the baby monster |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/209512 |
| work_keys_str_mv | AT cumminsc 2replicationandthebabymonster AT matiasr 2replicationandthebabymonster |