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Haowu, Wang
기하학 수리물리 연구단
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Theta blocks related to root systems

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Title
Theta blocks related to root systems
Author(s)
Dittmann, Moritz; Haowu Wang
Publication Date
2022-12
Journal
Mathematische Annalen, v.384, no.3-4, pp.1157 - 1180
Publisher
Springer Science and Business Media Deutschland GmbH
Abstract
© 2021, The Author(s), under exclusive licence to Springer-Verlag GmbH Germany, part of Springer Nature.Gritsenko, Skoruppa and Zagier associated to a root system R a theta block ϑR, which is a Jacobi form of lattice index. We classify the theta blocks ϑR of q-order 1 and show that their Gritsenko lift is a strongly-reflective Borcherds product of singular weight, which is related to Conway’s group Co. As a corollary we obtain a proof of the theta block conjecture by Gritsenko, Poor and Yuen for the pure theta blocks obtained as specializations of the functions ϑR.
URI
https://pr.ibs.re.kr/handle/8788114/12807
DOI
10.1007/s00208-021-02316-1
ISSN
0025-5831
Appears in Collections:
Center for Geometry and Physics(기하학 수리물리 연구단) > 1. Journal Papers (저널논문)
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