Clifford semialgebras

Adam Chapman, Letterio Gatto, Louis Rowen

    Research output: Contribution to journalArticlepeer-review

    1 Scopus citations


    Continuing the theory of systems, we introduce a theory of Clifford semialgebra systems, with application to representation theory via Hasse-Schmidt derivations on exterior semialgebras. Our main result, after the construction of the Clifford semialgebra, is a formula describing the exterior semialgebra as a representation of the Clifford semialgebra, given by the endomorphisms of the first wedge power.

    Original languageEnglish
    Pages (from-to)1197-1238
    Number of pages42
    JournalRendiconti del Circolo Matematico di Palermo
    Issue number2
    StatePublished - Mar 2023

    Bibliographical note

    Funding Information:
    The first author was supported by the Israel Science Foundation grant 1623/16. The research of the second author was supported by Finanziamento di Base della Ricerca,(no. 53_RBA17GATLET) and by INDAM–GNSAGA. The research of the third author was supported by Israel Science Foundation Grant No. 1623/16.

    Publisher Copyright:
    © 2022, The Author(s), under exclusive licence to Springer-Verlag Italia S.r.l., part of Springer Nature.


    • Bosonic vertex operator representation of Lie semialgebras of endomorphisms
    • Clifford semialgebras
    • Exterior semialgebra representation of endomorphisms
    • Exterior semialgebras
    • Schubert derivations


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