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Funktsional'nyi Analiz i ego Prilozheniya, 2020, Volume 54, Issue 3, Pages 8–25
DOI: https://doi.org/10.4213/faa3760 (Mi faa3760) 		 
This article is cited in 4 scientific papers (total in 4 papers)

The Structure of the Algebra of Weak Jacobi Forms for the Root System $F_4$

D. V. Adler

International Laboratory for Mirror Symmetry and Automorphic Forms, National Research University Higher School of Economics, Moscow, Russia
Full-text PDF (700 kB) Citations (4)
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DOI: https://doi.org/10.4213/faa3760
Abstract: We prove the polynomiality of the bigraded ring $J_{*,*}^{w, W}(F_4)$ of weak Jacobi forms for the root system $F_4$ which are invariant with respect to the corresponding Weyl group. This work is a continuation of a joint article with V. A. Gritsenko, where the structure of the algebras of weak Jacobi forms related to the root systems of $D_n$ type for $2\leqslant n \leqslant 8$ was studied.
Keywords: Jacobi forms, invariant theory.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation 14.641.31.0001
This work was supported by International Laboratory for Mirror Symmetry and Automorphic Forms, National Research University Higher School of Economics, under Government grant no. 14.641.31.0001.
Received: 10.02.2020
Revised: 12.04.2020
Accepted: 22.04.2020
English version:
Functional Analysis and Its Applications, 2020, Volume 54, Issue 3, Pages 155–168
DOI: https://doi.org/10.1134/S0016266320030016
Bibliographic databases:
Document Type: Article
UDC: 519.728
MSC: 11F50, 16W22
Language: Russian
Citation: D. V. Adler, “The Structure of the Algebra of Weak Jacobi Forms for the Root System $F_4$”, Funktsional. Anal. i Prilozhen., 54:3 (2020), 8–25; Funct. Anal. Appl., 54:3 (2020), 155–168
Citation in format AMSBIB
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\by D.~V.~Adler
\paper The Structure of the Algebra of Weak Jacobi Forms for the Root System $F_4$
\jour Funktsional. Anal. i Prilozhen.
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\vol 54
\issue 3
\pages 8--25
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\transl
\jour Funct. Anal. Appl.
\yr 2020
\vol 54
\issue 3
\pages 155--168
\crossref{https://doi.org/10.1134/S0016266320030016}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85102180993}
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Функциональный анализ и его приложения Functional Analysis and Its Applications
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