A formal power series of a Hecke ring associated with the Heisenberg lie algebra over ℤ<inf>p</inf>

Fumitake Hyodo

    Research output: Contribution to journalArticle

    Abstract

    This paper studies a formal power series with coefficients in a Hecke ring associated with the Heisenberg Lie algebra. We relate the series to the classical Hecke series defined by Hecke, and prove that the series has a property similar to the rationality theorem of the classical Hecke series. And then, our results recover the rationality theorem of the classical Hecke series.

    Original languageEnglish
    JournalInternational Journal of Number Theory
    DOIs
    Publication statusAccepted/In press - 2015

    Fingerprint

    Heisenberg Algebra
    Formal Power Series
    Lie Algebra
    Ring
    Series
    Rationality
    Theorem
    Coefficient

    ASJC Scopus subject areas

    • Algebra and Number Theory

    Cite this

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    abstract = "This paper studies a formal power series with coefficients in a Hecke ring associated with the Heisenberg Lie algebra. We relate the series to the classical Hecke series defined by Hecke, and prove that the series has a property similar to the rationality theorem of the classical Hecke series. And then, our results recover the rationality theorem of the classical Hecke series.",
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