Dimitry Leites - Arkady Onishchik: on his life and work on supersymmetry

cm:9337 - Communications in Mathematics, December 14, 2022, Volume 30 (2022), Issue 3 (Special issue: in memory of Arkady Onishchik) - https://doi.org/10.46298/cm.9337
Arkady Onishchik: on his life and work on supersymmetry

Authors: Dimitry Leites

    Selected stories about the life of A. L. Onishchik, and a review of his contribution to the classification of non-split supermanifolds, in particular, supercurves a.k.a. superstrings; his editorial and educational work. A brief overview of his and his students' results in supersymmetry, and their impact on other researchers. Several open problems growing out of Onishchik's research are presented, some of them are related with odd parameters of deformations and non-holonomic structures of supermanifolds important in physical models, such as Minkowski superspaces and certain superstrings.


    Volume: Volume 30 (2022), Issue 3 (Special issue: in memory of Arkady Onishchik)
    Published on: December 14, 2022
    Accepted on: June 8, 2022
    Submitted on: April 12, 2022
    Keywords: Mathematics - Representation Theory,Mathematical Physics,Physics - History and Philosophy of Physics,Primary 01A70 Secondary 58C50, 32C11, 81T30

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