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Proceedings of the London Mathematical Society. Third Series, 2018, Volume 116, Issue 3, Pages 485–533
DOI: https://doi.org/10.1112/plms.12084
(Mi plms3)
 

This article is cited in 18 scientific papers (total in 18 papers)

Lorentzian Kac–Moody algebras with Weyl groups of 2-reflections

Valery Gritsenkoab, Viacheslav V. Nikulincd

a Laboratoire Paul Painlevé, Université de Lille 1 et IUF, France
b Laboratory of Algebraic Geometry, National Research University Higher School of Economics, , Moscow, Russia
c Steklov Mathematical Institute, Moscow, GSP-1, Russia
d Department of Pure Mathematics, The University of Liverpool, Liverpool, United Kingdom
Citations (18)
Funding agency Grant number
Ministry of Education and Science of the Russian Federation 5-100
Russian Academy of Sciences - Federal Agency for Scientific Organizations PRAS-18-01
The first author was partly supported by the Russian Academic Excellence Project '5-100' and by IUF (Paris). The second author is supported by the Program of the Presidium of the Russian Academy of Sciences N01 'Fundamental Mathematics and its Applications' under grant PRAS-18-01.
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Document Type: Article
Language: English
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  • https://www.mathnet.ru/eng/plms3
  • This publication is cited in the following 18 articles:
    1. Haowu Wang, Brandon Williams, “The fake monster algebra and singular Borcherds products”, Advances in Mathematics, 461 (2025), 110083  crossref
    2. Dmitrii Adler, Valery Gritsenko, “Modular differential equations of W(D)-invariant Jacobi forms”, Journal of Geometry and Physics, 2024, 105339  crossref
    3. Haowu Wang, “2-Reflective Lattices of Signature (n, 2) with n ≥ 8”, International Mathematics Research Notices, 2023:20 (2023), 17953  crossref
    4. Yota Maeda, Yuji Odaka, Springer Proceedings in Mathematics & Statistics, 409, Birational Geometry, Kähler–Einstein Metrics and Degenerations, 2023, 633  crossref
    5. Haowu Wang, Brandon Williams, “Simple lattices and free algebras of modular forms”, Advances in Mathematics, 413 (2023), 108835  crossref
    6. Xianzhe Dai, Ken-Ichi Yoshikawa, “Analytic torsion for log-Enriques surfaces and Borcherds product”, Forum of Mathematics, Sigma, 10 (2022)  crossref
    7. Haowu Wang, Brandon Williams, “Projective Spaces as Orthogonal Modular Varieties”, Transformation Groups, 2022  crossref
    8. Haowu Wang, “Reflective modular forms on lattices of prime level”, Trans. Amer. Math. Soc., 2022  crossref
    9. Haowu Wang, “On some free algebras of orthogonal modular forms II”, Res. number theory, 7:3 (2021)  crossref
    10. Sven Möller, “Natural Construction of Ten Borcherds-Kac-Moody Algebras Associated with Elements in M23”, Commun. Math. Phys., 383:1 (2021), 35  crossref
    11. Haowu Wang, “Reflective Modular Forms: A Jacobi Forms Approach”, International Mathematics Research Notices, 2021:3 (2021), 2081  crossref
    12. Haowu Wang, “The classification of free algebras of orthogonal modular forms”, Compositio Math., 157:9 (2021), 2026  crossref
    13. Haowu Wang, Brandon Williams, “On some free algebras of orthogonal modular forms”, Advances in Mathematics, 373 (2020), 107332  crossref
    14. Valery Gritsenko, Haowu Wang, “Theta block conjecture for paramodular forms of weight 2”, Proc. Amer. Math. Soc., 148:5 (2020), 1863  crossref
    15. Valery Gritsenko, Moscow Lectures, 5, Partition Functions and Automorphic Forms, 2020, 87  crossref
    16. V. A. Gritsenko, H. Wang, “Antisymmetric paramodular forms of weight 3”, Sb. Math., 210:12 (2019), 1702–1723  mathnet  mathnet  crossref  crossref  isi  scopus
    17. Shouhei Ma, “Quasi‐pullback of Borcherds products”, Bull. London Math. Soc., 51:6 (2019), 1061  crossref
    18. V. A. Gritsenko, “Reflective modular forms and applications”, Russian Math. Surveys, 73:5 (2018), 797–864  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib
    Citing articles in Google Scholar: Russian citations, English citations
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